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<div class=Section1>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

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EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='font-size:24.0pt;mso-ansi-language:EN-US'>Digital Image Correlation<o:p></o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='font-size:24.0pt;mso-ansi-language:EN-US'>and Tracking with Matlab<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

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EN-US'><o:p>&nbsp;</o:p></span></p>

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EN-US'><o:p>&nbsp;</o:p></span></p>

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EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'>Programmed by:<o:p></o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'>Christoph Eberl, Robert Thompson, Daniel
Gianola<o:p></o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'>@ <st1:place w:st="on"><st1:PlaceName w:st="on">Johns</st1:PlaceName>
 <st1:PlaceName w:st="on">Hopkins</st1:PlaceName> <st1:PlaceType w:st="on">University</st1:PlaceType></st1:place>,
Group of Kevin J. Hemker<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><a href="mailto:Chris.eberl@jhu.edu">chris.eberl@jhu.edu</a><o:p></o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>1. Introduction<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Measuring strain in samples which are too small, big, compliant, soft or
hot are typical scenarios where non-contact techniques are needed. A technique
which can cover all that and also can deal with complicated strain fields in
structures or structural materials is the Digital Image Correlation. With this
technique, strain can be calculated from a series of consecutive images with
sub pixel resolution as will be shown in the following chapters. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Even though there are tons of codes from the image registration, artificial
intelligence or the robotics community, none of them can easily be used by the
strain measuring community. Commercial code is available also and has the
advantage of getting a guaranty that it works, is nicely designed and has well
thought through user interfaces and typically a higher processing speed. The
disadvantages are, that commercial software typically has to be paid in k$, is available
only as package with hardware, enjoys a notorious lack of programming interfaces
or tools to change the code to fit it into a test setup as well as the
probability of inaccessible data in case the software license is not valid
anymore or it does not run on the new and fancy computer anymore. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Out of all these reasons this code was written together with Rob
Thompson and Dan Gianola during my stay in the group of Kevin J. Hemker at the <st1:PlaceName
w:st="on">Johns</st1:PlaceName> <st1:PlaceName w:st="on">Hopkins</st1:PlaceName>
<st1:PlaceType w:st="on">University</st1:PlaceType> in <st1:place w:st="on"><st1:City
 w:st="on">Baltimore</st1:City>, <st1:State w:st="on">MD</st1:State>, <st1:country-region
 w:st="on">USA</st1:country-region></st1:place>. This code is not meant to be a
direct competitor to commercial code since we have not the time to make it as
easy to use as possible but as a different option with the advantages to be free,
flexible and scalable. Free in terms of free access even though we would like
to ask you to cite our code in case you use it and free again even though you
need to buy matlab together with some toolboxes. Since most research
institutions have access to this important tool I think we still can name it
free. Flexible in terms of the relative easy way you can enhance this
matlab code as a script language where you can add either other toolboxes or
your own code to flex it around your application. We would appreciate it if you
as a user could share your own code with all of us out here so we can learn
from your creativity. And scalable since you can easily start several
sessions to process your images on more than one processor (core) and because
there is a good chance that we will be able to use Graphic Processing Units
(GPU = the graphics processor on a graphics card) or other add-on boards to
enhance processing speed in the next few years.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>In case you are still reading, we would like to wish you fun using this
code and hope we were able to provide you with a useful tool to help your with
your experiments. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Cheers, Chris. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><st1:country-region w:st="on"><st1:place
 w:st="on"><span style='mso-ansi-language:EN-US'>Germany</span></st1:place></st1:country-region><span
style='mso-ansi-language:EN-US'>, December 2006.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
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</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>2. Requierements and Installation<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><u><span style='mso-ansi-language:EN-US'>REQUIEREMENTS:<o:p></o:p></span></u></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>You will need <b style='mso-bidi-font-weight:normal'>Matlab 7 (R14) or
higher</b> (since the dlmwrite.m in Matlab 6.5 does not work, at least for me
and this is a really important function since it stores the data after each
calculation step). And you will need the following <b style='mso-bidi-font-weight:
normal'>TOOLBOXES</b>:<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l1 level1 lfo3;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
style='mso-ansi-language:EN-US'>Optimization</span></b><span style='mso-ansi-language:
EN-US'> (all fitting processes depends on this toolbox)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l1 level1 lfo3;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
style='mso-ansi-language:EN-US'>Image processing</span></b><span
style='mso-ansi-language:EN-US'> (obviously)<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><u><span style='mso-ansi-language:EN-US'>INSTALLATION STEP 1:<o:p></o:p></span></u></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Copy the following <b style='mso-bidi-font-weight:normal'>essential</b>
files into the work folder in your matlab folder (e.g. in windows:
c:\matlab65\work):<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>filelist_generator.m<span
style='mso-tab-count:1'>    </span>(generates file name lists and an optional time_image
<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:1.75in;text-align:justify;text-indent:
15.6pt'><span style='mso-ansi-language:EN-US'>list needed for merging stress
and strain)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>grid_generator.m<span
style='mso-tab-count:1'>        </span>(generates grid rasters needed for the
correlation code)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>automate_image<span
style='mso-tab-count:1'>         </span>(this function does all the hard
correlation work)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>peak_labelling.m<span
style='mso-tab-count:1'>        </span>(this function is searching and tracking
peaks)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>pickpeak.m<span
style='mso-tab-count:2'>                 </span>(this function is tracking
manually chosen peaks)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>strain_lineprofile.m<span
style='mso-tab-count:1'>    </span>(tracking two markers in a lineprofile)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>line_visuals.m<span
style='mso-tab-count:2'>             </span>(needed for the strain_lineprofile.m)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>sortvalidpoints.m<span
style='mso-tab-count:1'>       </span>(this function finds the tracked peaks
and has to be <span style='mso-tab-count:4'>                                              </span>called
after peak_labelling or pickpeak)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>gauss_onepk.m<span
style='mso-tab-count:1'>           </span>(the gauss equation called by the
peaktracking functions)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>gauss_twopk.m<span
style='mso-tab-count:1'>          </span>(same as gauss_onepk.m but with two
peaks)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>displacement.m<span
style='mso-tab-count:1'>          </span>(this function will help you analyzing
your data)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>linearfit.m<span
style='mso-tab-count:2'>                   </span>(contains the linear
equation)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>ppselection_func.m<span
style='mso-tab-count:1'>    </span>(this function is needed by displacement.m)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>resume_automate_image.m
(resume stopped correlation jobs, see Chapt. 6)<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>jobskript.m<span
style='mso-tab-count:2'>                 </span>(generates a pile of jobs and
executes them Chapt. 6)<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><u><span style='mso-ansi-language:EN-US'>INSTALLATION STEP 2:<o:p></o:p></span></u></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>In cpcorr.m (type open cpcorr at the matlab prompt) you have to change
<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify;text-indent:
-.25in;mso-list:l2 level1 lfo2;tab-stops:list .25in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
style='mso-ansi-language:EN-US'>in line 77: <o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>CORRSIZE = 5; <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><span style='mso-tab-count:1'>      </span>to: <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>CORRSIZE = 15;<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify'><i
style='mso-bidi-font-style:normal'><span style='mso-ansi-language:EN-US'>(This
changes the size of the selected parts of the image which will be correlated
from 10x10 pixels to 30x30. Change this to smaller values if you experience
slow computational speed or if you use low resolution images. Remember that
markers need more than double the space from its centre to the edge of the
image, otherwise they cannot be tracked.)<o:p></o:p></span></i></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify;text-indent:
-.25in;mso-list:l2 level1 lfo2;tab-stops:list .25in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
style='mso-ansi-language:EN-US'>in line 134 and 135:<o:p></o:p></span></b></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>input_fractional_offset = xyinput(icp,:) -
round(xyinput(icp,:));<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>base_fractional_offset = xybase_in(icp,:) - round(xybase_in(icp,:));<span
style='mso-spacerun:yes'>    </span><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><span style='mso-tab-count:1'>      </span>to:<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>input_fractional_offset = xyinput(icp,:) -
round(xyinput(icp,:)*1000)/1000;<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>base_fractional_offset = xybase_in(icp,:) -
round(xybase_in(icp,:)*1000)/1000;<span style='mso-spacerun:yes'>    </span><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify'><i
style='mso-bidi-font-style:normal'><span style='mso-ansi-language:EN-US'>(This
is changing the resolution of the marker positions to 1/1000<sup>th</sup>
pixel. If you need higher resolution just increase these values)<o:p></o:p></span></i></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>3. Good things to know about matlab:<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>The matlab help is extremely helpful and should be the very first location
you look in case of errors. If you never worked with matlab but would like to
check it out, the Getting Started is a good point to start with. I started
there in summer 2005. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>TAB:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Pressing the TAB key on your keyboard after you started typing in a
command at the command line of matlab will show you all functions with the same
first letters.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Arrow up function:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Pressing the Arrow Up key on your keyboard after you started typing a
command will show the <b style='mso-bidi-font-weight:normal'>last </b>command
you started with the same first letters.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Current Folder:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>The Current Folder of matlab is the folder on your harddisk which is
currently selected to process data in matlab (close to the upper edge of the
matlab window). Functions like automate_image.m require certain files to be
present in the Current Folder otherwise they will produce an error (see
description later on). Pressing the little button on the right hand side with
the three little dots on it will let you select another folder. Another
possibility is to use the command window (see matlab help) or you can select
the current directory if it is activated under View in that extra window.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Set semicolon:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Set the semicolon after calling a function (e.g. automate_image;),
otherwise all data which you get back from a called function will be plotted in
the command window.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Workspace:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>The Workspace is the place where you can load all your data into.
Functions called by you will write their values into the workspace and scripts
will use the workspace all the time and leave a mess of variables in there. If
you do not know what is going on check out the Getting Started paragraph in
the matlab help. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>How to load data?<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>If you have loaded data into the workspace (either by choosing File </span><span
style='font-family:Wingdings;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman";mso-ansi-language:EN-US;mso-char-type:
symbol;mso-symbol-font-family:Wingdings'><span style='mso-char-type:symbol;
mso-symbol-font-family:Wingdings'>à</span></span><span style='mso-ansi-language:
EN-US'> Open and selected the data file you wanted to load or using the
command window e.g. by typing: load('filenamelist') and filenamelist is
present in the Current Directory) the data will appear in the workspace window.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>How to saved data from Workspace
to the hard disk?<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>If you want to save data from the workspace to the hard disk, right
click on it and select Save Selection As. It will save the data with the
matlab file fomat. This data is only accessible by matlab. If you want to
process the data also with other programs you should consider to save the data
as ASCII file. Therefore type in the matlab console window save('stress.txt','alltemp','-ASCII');
to save the variable alltemp as text file<span style='mso-spacerun:yes'> 
</span>with the name stress.txt to the Current directory.<span
style='mso-spacerun:yes'>  </span>If you want to open it with matlab or excel
you have to import the file. The delimiter is per default TAB but can also be
chosen to be comma or space (see matlab help).<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>How to give data in the workspace
to the functions?<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>If you type displacement; into the command window of matlab, the
function will start and ask you for the needed files. Instead you can load the
data (e.g. validx.mat and validy.mat) into the workspace and then give it to
the displacement function by typing: displacement(validx,validy);. If have
not loaded validx.mat there will be an error message. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>How do I get the data from the
function into the workspace?<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>If you type [validx,validy]=displacement; the variables validx and validy
will be created after running displacement.m. If you have manipulated validx
and validy (e.g. if you cleaned up the data set from miss-tracked markers) you should
save them.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Why are all images<span
style='mso-spacerun:yes'>  </span>opened in matlab mirrored to the horizontal center
axis of the image?</span></b><span style='mso-ansi-language:EN-US'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Matlab reads in images like a diagram. Therefore pixel (1,1) is in the
lower left while image processing software starts at the upper left corner. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>How o stop a function in matlab?</span></b><span
style='mso-ansi-language:EN-US'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>To stop a function press the control key (Crtl) together with c.<o:p></o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>4. <u>Digital Image Correlation Quick Guide<o:p></o:p></u></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This guide should help you to perform a simple and fast analysis of your
images. Before we start you should check your image format and the naming of
your files. The preferred image format is *.tif and can be compressed with the
packbits compression. JPEG or other image formats as well as MPEG video
compression formats will not provide you with sub pixel resolution since the
images are processed to save as much space as possible. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>The script we use to create a list of images to process
(filelist_generator.m) is kind of limited to a certain format but it is
possible to generate your own list of images. If you want to change the format
or the names of your images you can use free programs like Irfanview (<a
href="http://www.irfanview.com/">www.irfanview.com</a>) to batch process a huge
number of images.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><i style='mso-bidi-font-style:
normal'><span style='font-size:16.0pt;mso-ansi-language:EN-US'>4 Steps to
Success:<o:p></o:p></span></i></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l0 level1 lfo1;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>1.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Step: Filename list generation
with filelist_generator.m<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Just type filelist_generator; and press
ENTER at the command line of matlab. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>There are two ways to proceed now: Either you
choose to manually type in the image numbers you want to be processed or you
can automatically generate a list of images by just pointing out the first
image and the function will find all images with increasing number before the
point in the name (e.g. PIC00001.Tif). If you choose manually, the
following window should appear:<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shapetype id="_x0000_t75"
 coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe"
 filled="f" stroked="f">
 <v:stroke joinstyle="miter"/>
 <v:formulas>
  <v:f eqn="if lineDrawn pixelLineWidth 0"/>
  <v:f eqn="sum @0 1 0"/>
  <v:f eqn="sum 0 0 @1"/>
  <v:f eqn="prod @2 1 2"/>
  <v:f eqn="prod @3 21600 pixelWidth"/>
  <v:f eqn="prod @3 21600 pixelHeight"/>
  <v:f eqn="sum @0 0 1"/>
  <v:f eqn="prod @6 1 2"/>
  <v:f eqn="prod @7 21600 pixelWidth"/>
  <v:f eqn="sum @8 21600 0"/>
  <v:f eqn="prod @7 21600 pixelHeight"/>
  <v:f eqn="sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
 <o:lock v:ext="edit" aspectratio="t"/>
</v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:243pt;
 height:102.75pt'>
 <v:imagedata src="Correlation_Guide_2_files/image001.jpg" o:title="filelist_generator"
  cropbottom="43901f" cropright="27208f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=324 height=137
src="Correlation_Guide_2_files/image002.jpg" v:shapes="_x0000_i1025"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 1: Input of first and last image to create an image list with
filelist_generator.m<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The numbers will be the number at the end of
each filename. After depositing these numbers in the dialog the next window
will ask for the first 4 letters of the filenames.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1026"
 type="#_x0000_t75" style='width:243pt;height:1in'>
 <v:imagedata src="Correlation_Guide_2_files/image003.jpg" o:title="filelist_generator_2"
  cropbottom="50376f" cropright="27208f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=324 height=96
src="Correlation_Guide_2_files/image004.jpg" v:shapes="_x0000_i1026"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 2: Input for the first 4 letters in filelist_generator.m<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The next step is to save the file name list
into the folder with the images to process. You should choose to use
filenamelist.mat since this is what the following scripts will search for. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1027"
 type="#_x0000_t75" style='width:252pt;height:162pt'>
 <v:imagedata src="Correlation_Guide_2_files/image005.jpg" o:title="filelist_generator_3"
  cropbottom="31426f" cropright="25789f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=336 height=216
src="Correlation_Guide_2_files/image006.jpg" v:shapes="_x0000_i1027"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 3: Dialog to save the file name list into the folder with the
images to analyze.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l0 level1 lfo1;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>2.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Grid generation with grid_generator.m
for correlation:<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>It has to be noted that the user can always
generate his own marker positions. Therefore the marker position in pixel has
to be saved as a text based format where the x-position is saved as
grid_x.dat and the y-position saved as grid_y.dat. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>To start just type grid_generator; and press
ENTER at the command line of matlab. The following window should appear:<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1028"
 type="#_x0000_t75" style='width:252pt;height:164.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image007.jpg" o:title="grid_generator_1"
  cropbottom="30952f" cropright="25789f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=336 height=219
src="Correlation_Guide_2_files/image008.jpg" v:shapes="_x0000_i1028"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 4: Dialog to open the first (base) image to generate a grid<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>In this dialog the first (base) image can be
selected in which the grid can be created. After selecting this base image, the
image will be opened and a new dialog pops up to ask you what kind of grid
should be used.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1030"
 type="#_x0000_t75" style='width:279pt;height:135pt'>
 <v:imagedata src="Correlation_Guide_2_files/image009.jpg" o:title="grid_generator_3"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=372 height=180
src="Correlation_Guide_2_files/image010.jpg" v:shapes="_x0000_i1030"><![endif]><!--[if gte vml 1]><v:shape
 id="_x0000_i1031" type="#_x0000_t75" style='width:99pt;height:132.75pt'>
 <v:imagedata src="Correlation_Guide_2_files/image011.jpg" o:title="grid_generator_2"
  cropbottom="31426f" cropright="46490f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=132 height=177
src="Correlation_Guide_2_files/image012.jpg" v:shapes="_x0000_i1031"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 5: The opened base image and the menu to select the grid type.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The different types are a rectangular or
circular grid, two markers, a line or two rectangles of markers. If you choose a
rectangular grid type, the pointer will change from an arrow to a horizontal
and a vertical line which will help you finding the right position. The idea is
to click on the two diagonal positions which will define the outer dimensions
of a box containing the grid.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1029"
 type="#_x0000_t75" style='width:414.75pt;height:200.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image013.jpg" o:title="grid_generator_4"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=553 height=267
src="Correlation_Guide_2_files/image014.jpg" v:shapes="_x0000_i1029"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 6: The horizontal and vertical lines allow an accurate positioning
of the grid.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The selected box will be shown in the image and
a dialog will pop up to ask your for the input of a raster point distance in x
and y direction. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1032"
 type="#_x0000_t75" style='width:243pt;height:99pt'>
 <v:imagedata src="Correlation_Guide_2_files/image015.jpg" o:title="grid_generator_5"
  cropbottom="44691f" cropright="27208f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=324 height=132
src="Correlation_Guide_2_files/image016.jpg" v:shapes="_x0000_i1032"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 7: Horizontal (x-direction) and vertical (y-direction) grid
resolution with a default resolution of 50 pixel distance between raster points.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The code will now generate the chosen grid and will
plot it on top of the sample image. The last dialogue will ask you if you want
to use the generated grid and save the grid_x.dat and grid_y.dat to be
processed, if you want to try again or if you want to choose another grid type.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1033"
 type="#_x0000_t75" style='width:117pt;height:97.5pt'>
 <v:imagedata src="Correlation_Guide_2_files/image017.jpg" o:title="grid_generator_7"
  cropbottom="45007f" cropright="47082f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=156 height=130
src="Correlation_Guide_2_files/image018.jpg" v:shapes="_x0000_i1033"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 8: The last menu will allow you to accept the grid (which will be
saved), try again or choose another grid type.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l0 level1 lfo1;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>3.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Run correlation with automate_image.m:<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The automation function is the central function
and processes all markers and images. Therefore the Current directory in
matlab has to be the folder where automate_image.m finds the filenamelist.mat,
grid_x.dat and grid_y.dat as well as the images specified in filenamelist.mat.
Just type automate_image; and press ENTER at the command line of matlab. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>At first, automate_image.m will open the first
image in the filenamelist.mat and plot the grid as green crosses on top. The
next step will need some time since all markers in that image have to be
processed for the first image. After correlating image one and two the new
raster positions will be plotted as red crosses. On top of the image and the
green crosses. The next dialog will ask you if you want to continue with this
correlation or cancel. If you press continue, automate_image.m will process
all images in the filenamelist.mat. The time it will take to process all
images will be plotted on the figure but can easily be estimated by knowing the
raster point processing speed (see processing speed). <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Depending on the number of images and markers
you are tracking, this process can take between seconds and days. For 100
images and 200 markers a decent computer should need 200 seconds. To get a
better resolution you can always run jobs overnight (e.g. 6000 markers in 1000
images) with higher resolutions. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Keep in mind that CORRSIZE which you changed
in cpcorr.m will limit your resolution. If you chose to use the 15 pixel as
suggested a marker distance of 30 pixel will lead to a full cover of the strain
field. Choosing smaller marker distances will lead to an interpolation since
two neighboring markers share pixels. Nevertheless a higher marker density can
reduce the noise of the strain field.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>When all images are processed, automate_image
will write the files validx.mat, validy.mat, validx.txt and validy.txt. The
text files are meant to store the result in a format which can be accessed by
other programs also in the future. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>To stop automate_image use the key combination
<i style='mso-bidi-font-style:normal'>Ctrl</i> c. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>In case of a crashes, errors generating the
right filenamelist or the interruption of the correlation process by the user,
the function recover_correlation.m can be called which extracts the last
marker positions sets up automate_image.m and continues at the last image.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l0 level1 lfo1;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>4.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Analyze the displacement with
displacement.m:<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>As last part, the post processing is the most
interesting and awarding step since you actually can analyze the collected
displacement data. The displacement.m function is a small collection of
functions which allows you to review the displacement field, calculate the
strain or delete markers which were not correlated or tracked very well. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>To start, type into the command window
displacement; or [validx,validy]=displacement; in case you want to save the
changed files (validx and validy) from the workspace (see chapter 3). A window
will pop up asking you for the validx.dat file which contains the
x-displacement off all markers in all images, followed by a dialog for the
validy.dat containing the y data. After displacement.m has loaded both files,
a new window pops up which allows you to choose between different options.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1034"
 type="#_x0000_t75" style='width:179.25pt;height:241.5pt'>
 <v:imagedata src="Correlation_Guide_2_files/image019.jpg" o:title="displacement_1"
  cropbottom="14666f" cropright="37262f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=239 height=322
src="Correlation_Guide_2_files/image020.jpg" v:shapes="_x0000_i1034"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 9: The displacement.m function allows cleaning up the data set
selecting parts of it plot the displacement or measure the strain in x- and y-direction.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>For a typical analysis you always have to
delete some of the markers with did not all too well during the correlation or
peak fitting step. This can happen e.g. due to marker movement during the test,
changing light conditions or in case of the correlation technique due to the
fact that the sample surface did not provide enough characteristics. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>We start with clicking on the <b
style='mso-bidi-font-weight:normal'>3D Mesh Plot of Displacement</b> button which
will bring up a new window and a dialog asking if you want to create a video. Clicking
on yes will create a new folder called video and the 3D displacement plot of
each image will be saved as *.jpg. The click on the no button will just start
the 3D displacement plot. This part of the displacement.m allows you to watch
displacement (z-axis) versus location (x- and y-axis) for all images. To get a
better 3-dimensional understanding all markers are projected as green dots on
the plane normal to the y axis. The Image number will be shown in the plot. It
has to be noted that the orientation of the strain depends on the orientation
of the image during the correlation process. The x-axis in the plot is the
horizontal direction in the image and the y-direction the perpendicular
direction. The plotted displacement on the z-axis is always the x-displacement
of the data contained in validx.mat and validy.mat. To look at the y
displacement the user has to wait for all images to be plotted and then after
the displacement-dialog appears again, click the button <b style='mso-bidi-font-weight:
normal'>Rotate Orientation (exchange x and y)</b>. This will exchange validx
and validy and clicking again on the <b style='mso-bidi-font-weight:normal'>3D
Mesh Plot of Displacement </b>button will now show the displacement in the y-direction.
The user has to keep track of this change since it will affect all plotting and
strain measurement steps lying ahead during the same displacement.m session. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1035"
 type="#_x0000_t75" style='width:342pt;height:303.75pt'>
 <v:imagedata src="Correlation_Guide_2_files/image021.jpg" o:title="displacement_2"
  cropbottom="1547f" cropright="11695f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=456 height=405
src="Correlation_Guide_2_files/image022.jpg" v:shapes="_x0000_i1035"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 10: 3D Displacement versus x- and y-position. The orientation of
the x-axis is the horizontal in the analyzed image and the y-axis is the
vertical. The displacement is always the x-diplacement until you exchange
validx and validy with the <b style='mso-bidi-font-weight:normal'>Rotate
Orientation (exchange x and y)</b> button.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The next step is to get rid of badly tracked
markers. This can be done in three different ways:<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>delete
single markers, click <b style='mso-bidi-font-weight:normal'>Remove badly
tracked marker, one by one (Position)</b><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>delete a
bunch of markers at once, click <b style='mso-bidi-font-weight:normal'>Delete
multiple markers (Position)</b> <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l2 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span
style='mso-ansi-language:EN-US'><span style='mso-list:Ignore'>-<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='mso-ansi-language:EN-US'>delete a
bunch of markers from the displacement versus x position plot, click <b
style='mso-bidi-font-weight:normal'>Delete markers from displacement vs.
position plot</b>.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The first two will provide you with a top down
view with x- and y axis being the horizontal and vertical direction in the
analyzed image and the displacement is expressed as underlying colors. The third
option will show the projected markers which allows you to sometimes more easily
access the peaks. You have to play around with these two different views and
rotate the orientation back and forth while you are checking through the images
until you get a clean data set. This requires some practice, therefore take
your time and analyze the data carefully before you really delete a bunch of
markers.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><b style='mso-bidi-font-weight:normal'>Remove
badly tracked marker, one by one (Position)</b> will allow you to click on
markers which are not at the right place. The marker with the highest
displacement value will be a red dot while the marker with the lowest
displacement will be a blue dot. By clicking close to one of the markers the
plot will be updated to the new displacement field and the color code will be
updated to the new highest and lowest displacement value.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><b style='mso-bidi-font-weight:normal'>Delete
multiple markers (Position)</b> will allow you to choose a rectangle and all
markers in it will be deleted.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The same applies to the <b style='mso-bidi-font-weight:
normal'>Delete markers from displacement vs. position plot</b>, it is just a
different view of the markers.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After cleaning up the data set and if you have
started the displacement.m file with [validx,validy]=displacement;, you
will find validx and validy as variables in the workspace. Right-click on them
and save the selection with a different name than validx.mat and validy.mat and
nect time you open up displacement.m choose them. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After cleaning up and saving the data you will
want to measure strain. Here also two ways you can choose. The first one is
straight forward by just clicking on either <b style='mso-bidi-font-weight:
normal'>Strain Measurement between 2 Points</b> which will let you choose two
points or <b style='mso-bidi-font-weight:normal'>1D Average Strain Measurement</b>
which will use all points available. The second one is to select markers with <b
style='mso-bidi-font-weight:normal'>Select Markers to Analyze</b> from a
certain location and then jump back to the displacement.m and then calculate
the strain. Again it is important to keep track of all <b style='mso-bidi-font-weight:
normal'>Rotate Orientation</b> operations since you will analyze in both cases
the x-displacement versus the x-position. In case the data was not rotated, the
strain in horizontal direction in the image will be measured. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After clicking on <b style='mso-bidi-font-weight:
normal'>Strain Measurement between 2 Points</b> you will have to choose two
points. The function will find the closest two points to where you clicked and
plot the strain versus image number.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>If you are not happy with the result you can
still choose two other markers by clicking Yes in the next dialog. If you
stick with these markers, you can either save the result as a text file (image_1Dstrain.txt)
or just go back to the displacement.m dialog. Make sure you change the filename
in the explorer before you run this code another time since it will just
overwrite it.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1036"
 type="#_x0000_t75" style='width:331.5pt;height:302.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image023.jpg" o:title="displacement_3"
  cropright="11695f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=442 height=403
src="Correlation_Guide_2_files/image024.jpg" v:shapes="_x0000_i1036"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 11: From this window two points can be picked which will be used to
measure the strain<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1037"
 type="#_x0000_t75" style='width:331.5pt;height:296.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image025.jpg" o:title="displacement_4"
  cropbottom="1147f" cropright="11695f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=442 height=395
src="Correlation_Guide_2_files/image026.jpg" v:shapes="_x0000_i1037"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 12: Strain versus image number<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After clicking on the <b style='mso-bidi-font-weight:
normal'>1D Average Strain Measurement</b> button, the x-displacement versus
x-direction will be plotted for each image and then fitted by a linear
function. The slope is the true strain which will be plotted versus the image
number after all images are processed. If you choose to save the strain versus
image number you will be asked where you want to save the data as an ASCII file
which can be opened with matlab, excel or just the notepad.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1038"
 type="#_x0000_t75" style='width:342pt;height:306pt'>
 <v:imagedata src="Correlation_Guide_2_files/image027.jpg" o:title="displacement_5"
  cropbottom="1147f" cropright="11624f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=456 height=408
src="Correlation_Guide_2_files/image028.jpg" v:shapes="_x0000_i1038"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 13: The slope of the linear fit of the displacement versus position
allows to plot the true strain versus image number.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>If you want to analyze a special part of your
sample it is best to use the <b style='mso-bidi-font-weight:normal'>Select
Markers to Analyze</b> button in the displacement.m menu. The menu which
will pop up allows you to choose between different types of grids.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After you have chosen the markers you want to
process, run <b style='mso-bidi-font-weight:normal'>1D Average Strain
Measurement</b> to get the strain from these markers. Clicking the <b
style='mso-bidi-font-weight:normal'>Rotate Orientation (exchange x and y)</b>
button and running the strain analysis again will give you the strain in the
perpendicular direction.<o:p></o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>5. <u>Digital Image Tracking Quick Guide</u> <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This guide should help you to perform a simple and fast analysis of your
images. Before we start you should check your image format and the naming of
your files. The preferred image format is *.tif and can be compressed with the
packbits compression. JPEG or other image formats as well as MPEG video
compression formats will not provide you with sub pixel resolution since the
images are processed to save as much space as possible. The script we use to
create a list of images to process (filelist_generator.m) is kind of limited to
a certain format but it is possible to generate your own list of images which
will be explained later. If you want to change the format or the names of your
images you can use free programs like Irfanview (<a
href="http://www.irfanview.com/">www.irfanview.com</a>) to batch process a huge
number of images.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><i style='mso-bidi-font-style:
normal'><span style='font-size:16.0pt;mso-ansi-language:EN-US'>4 Steps to
Success:<o:p></o:p></span></i></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>1. <u>Step: Filename list
generation with filelist_generator.m<o:p></o:p></u></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Just type filelist_generator; and press
ENTER at the command line of matlab. The following window should appear:<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1039"
 type="#_x0000_t75" style='width:243pt;height:102.75pt'>
 <v:imagedata src="Correlation_Guide_2_files/image001.jpg" o:title="filelist_generator"
  cropbottom="43901f" cropright="27208f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=324 height=137
src="Correlation_Guide_2_files/image002.jpg" v:shapes="_x0000_i1039"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 1: Input of first and last image to create an image list with
filelist_generator.m<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The numbers will be the number at the end of
each filename. After depositing these numbers in the dialog the next window
will ask for the first 4 letters of the filenames.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1040"
 type="#_x0000_t75" style='width:243pt;height:1in'>
 <v:imagedata src="Correlation_Guide_2_files/image003.jpg" o:title="filelist_generator_2"
  cropbottom="50376f" cropright="27208f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=324 height=96
src="Correlation_Guide_2_files/image004.jpg" v:shapes="_x0000_i1040"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 2: Input for the first 4 letters in filelist_generator.m<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The next step is to save the file name list
into the folder with the images to process.<o:p></o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1041"
 type="#_x0000_t75" style='width:252pt;height:162pt'>
 <v:imagedata src="Correlation_Guide_2_files/image005.jpg" o:title="filelist_generator_3"
  cropbottom="31426f" cropright="25789f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=336 height=216
src="Correlation_Guide_2_files/image006.jpg" v:shapes="_x0000_i1041"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. 3: Dialog to save the file name list into the folder with the
images to analyze.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l3 level1 lfo4;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>2.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Run tracking with peak_labelling.m,
pickpeak.m and strain_lineprofile.m:<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><b
style='mso-bidi-font-weight:normal'><span style='mso-ansi-language:EN-US'>peak_labelling.m<o:p></o:p></span></b></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>If you trust the automatic peak labeling, you
can use peak_labelling.m. Type [validx,validy]=peaklabelling; It will scan
your image and subtract the hopefully dark background and identify maxima with
a value higher then a certain grey value. It will ask you for an image (the
base image) which will be used to identify the peaks and run a first fit
through all of them.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1042"
 type="#_x0000_t75" style='width:252pt;height:164.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image007.jpg" o:title="grid_generator_1"
  cropbottom="30952f" cropright="25789f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=336 height=219
src="Correlation_Guide_2_files/image008.jpg" v:shapes="_x0000_i1042"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Fig. : Open the first image for automatic peak
identification.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After opening the first image peak_labelling
will plot the image as intensity plot where blue is low and red is high
intensity. You will be asked to draw a box in which peak_labelling will check
for peaks. After selecting the area, it will take some time to process. After
identifying the peaks peak labeling will automatically start to fit all peaks
and plot the residuals of all peaks. Minimizing the matlab console window will
increase processing speed. The title in the figure will indicate the status of
the processing and the estimated time it will take.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1043"
 type="#_x0000_t75" style='width:342pt;height:306pt'>
 <v:imagedata src="Correlation_Guide_2_files/image029.jpg" o:title="peaklabelling01"
  cropbottom="1188f" cropright="11589f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=456 height=408
src="Correlation_Guide_2_files/image030.jpg" v:shapes="_x0000_i1043"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Fig. : Select an area to find peaks.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>At the end of the processing, all relevant
files (fitxy.dat contains the fitting parameters for each point,
validx.dat/.mat contains the x-position of each peak, and validy.dat/.mat
contains the y-position of each peak) will be saved in the current folder. One
relevant parameter is not directly accessible since this approach is trying to
automate the whole processing step but can be changed in the peak_labelling.m
file. <span style='mso-spacerun:yes'> </span>It can be found in
peak_labelling.m in line 182 and 183 where the residuals of the fits in x and
y directions are validated to guarantee a flawless processing. If a fit does
not work at all, the function will crash. To prevent this I let the function
decide very early which peak is good or bad. Only the fits with a low residual
will be used. Therefore you should make sure you do not use too high values
here. You will also find a similar value in the function sortvalidpoints.m
which is called by peak_labelling.m at the end of the processing to create
validx and validy. You have to change this value in line 39 too, otherwise
the peaks will be deleted at the end. Since the input file fitxy.dat is saved
before these points are deleted, you can still play around with this value and
see how it affects your resulting validx and validy.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><b
style='mso-bidi-font-weight:normal'><span style='mso-ansi-language:EN-US'>pickpeak.m</span></b><span
style='mso-ansi-language:EN-US'><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After starting the function by typing at the
console pickpeak;, the function will ask you for the first image and then
will need to know how many peaks you want to identify.<o:p></o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1045"
 type="#_x0000_t75" style='width:242.25pt;height:1in'>
 <v:imagedata src="Correlation_Guide_2_files/image031.jpg" o:title="pickpeak01"
  cropbottom="50395f" cropright="27230f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=323 height=96
src="Correlation_Guide_2_files/image032.jpg" v:shapes="_x0000_i1045"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=center style='margin-left:.25in;text-align:center'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in'><span style='mso-ansi-language:
EN-US'>Fig. : How many peaks do you want to identify for tracking by
pickpeak.m?<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After you typed in a number (e.g. 20), the
function will present you the selected image and you can click boxes around the
peaks you want to track. For each peak you have to define a box by clicking on
the lower left and the upper right of each peak. The center of each box will be
highlighted by a blue circle. It is very important that you choose a box which
is wide enough for the curve fitting to get enough data points. But if you
choose too big boxes you will trap several peaks in them and the residual of
the fit will be high which the software will interpret as bad fit. A box size
of 2-4 times of the visible peaks seems to be a good idea. Also it is better to
choose round shaped peaks since this provides a better greyscale profile if you
choose to use a gauss function for the fitting process. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After you picked all peaks, the software will
fit all peaks which will be displayed in a small window and after the first
image processed you will only see the actual image and with blue circles on top
indicating the peaks which are still in the fitting process. Vanishing circles
indicate that the peak could not be fitted any more.<span
style='mso-spacerun:yes'>  </span>The title in this window will tell you the
approximated total processing time and how much percent of the images are
processed. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>After all images are processed, the data will
be saved the same way as in the peak_labelling.m function. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><b
style='mso-bidi-font-weight:normal'><span style='mso-ansi-language:EN-US'>strain_lineprofile.m<o:p></o:p></span></b></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>This function will track two greyscale maxima
in a line profile which you can choose from an image. After opening the first
image, the software will let you to choose a horizontal line at a vertical
position in the image. The next dialog will ask you which integration width (in
vertical, y-direct) you want to use. Default is 40 but you should keep in mind
that it should be either much wider or much narrower than your markers. If you
choose the same width and the markers are drifting in y direction the peaks in
the greyscale profile will change which will translate as error into your
strain analysis. <o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>The calculated greyscale profile will then be
plotted and you can choose two peaks. The first click should be located on the
horizontal level of the background and the vertical position of the first peak
and the second click should be placed at the horizontal level of the average
peak amplitude of the two chosen peaks and the vertical position of the second
peak. After the second click, the function will fit two gauss functions to the
greyscale profile and plot a red fitting function on top of the data while
processing all images. The peak positions will be saved in the file
raw_peak_results.dat and the strain as strain_x.dat as well as a two column
file with the image number in the first column and the strain in the second
column. All files are tab delimited ASCII format and can be opened e.g. with
excel. You cannot use displacement.m for the strain analysis since this data
is only 1D with 2 points.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1044"
 type="#_x0000_t75" style='width:414.75pt;height:345pt'>
 <v:imagedata src="Correlation_Guide_2_files/image033.jpg" o:title="line_profile"
  cropbottom="1593f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=553 height=460
src="Correlation_Guide_2_files/image034.jpg" v:shapes="_x0000_i1044"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Fig. : Greyscale lineprofile, ready to pick two
peaks.<o:p></o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.5in;text-align:justify;text-indent:-.25in;
mso-list:l3 level1 lfo4;tab-stops:list .5in'><![if !supportLists]><span
style='font-size:16.0pt;mso-ansi-language:EN-US'><span style='mso-list:Ignore'>3.<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><u><span
style='font-size:16.0pt;mso-ansi-language:EN-US'>Run displacement.m:<o:p></o:p></span></u></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='margin-left:.25in;text-align:justify'><span
style='mso-ansi-language:EN-US'>Please check step 4 in 4. <u>Digital Image
Correlation Quick Guide</u>.<o:p></o:p></span></p>

<span style='font-size:18.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-ansi-language:EN-US'>6. Extra scripts and information you might find useful<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>stress_strainmatch.m</span></b><span
style='mso-ansi-language:EN-US'>:<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Matching stress and strain can become a pain if they were captured with
different programs and/or computers, which can be the case if the strain is
captured with a camera. This little script can read in stress and strain files
(as long as they are ASCII files) and match the two together. It needs the time_image.txt
which is created by the filelist_generator.m, the strain file and the stress
file. You have to choose which column is stress and strain in each file. After
it has loaded all the files the script will ask you for the time between
starting the stress measurement and the first image file. The stress versus
image plot shows you immediately if the chosen value makes sense and the file stress_image_x.txt
will be written to the Current Folder on the hard disk.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Markerplotting.m</span></b><span
style='mso-ansi-language:EN-US'>:<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This script will plot the markers as small dots onto the analyzed
images. You have to provide validx.m, validy.m, filenamelist and the images in the
Current Folder. After staring the script you will be asked if you want to
create a video or not. If you click yes a folder Video_Markers will be
created and each frame captured as a *.jpg file.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>resume_automate_image.m:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This function allows you to resume automate_image jobs after they were
stopped by the user or out of other reasons (windows decided that it is more
important to install an update than running the job). You need
resultsimcorrx.txt and resultsimcorrx.txt as well as grid_x.dat and
grid_y.dat and filenamelist in the same folder as your images you want to
continue to process. Your Current Directory should be the same. You can start
the function for example by typing [validx, validy]=resume_automate_image; at
the command line of matlab and then press ENTER. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>jobskript.m</span></b><span
style='mso-ansi-language:EN-US'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This script allows you to create a list of automate_image jobs and
executes them by the use of the automate_image function. It combines the first
3 steps of the Correlation quick guide described in chapter 4. The script calls
first the filelist_generator and let you store the created file list in the folder
with the images. After that the script calls the grid_generator and stores
grid_x.dat and grid_y.dat in the same folder. You can then store the job
folder by clicking on the Save button and then proceed either with the job or
create another one. You can also load stored jobs at the beginning. If you
decide not to add any more jobs (click No) the script will give the folders
one by one to automate_image.m.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>RTCorrCode.m<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>This function allows to process images and calculate x- and y-strain
while you take them by dynamically generating a filenamelist and reading in the
files. For real time image correlation you have to find out by try and error
how many markers your computer can process per second. This depends on image
file size, Corrsize (which you can change in cpcorr.m) and on the speed of
your computer and how many other things it has to do besides the processing of
images. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>You can use a dedicated machine by getting your image files through a
network connection and give back the strain as a voltage by a data acquisition
board to the measurement computer. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>You can either choose to let the computer stop the processing if the
next image cannot be found or by the existence of a file end.txt in the same
directory as the image files.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>To start the function you can type [validx,validy]=RTCorrCode; and then
press ENTER. First you will be asked if you want to stop processing if the
function cannot find a consecutively numbered image or in case the function
finds end.txt in the Current Folder. If you want to use RTCorrCode just to
process your images you can click Stop with image check and the function will
process all images in your folder with consecutive numbers in the image file
name before the point (e.g. PIC00300.Tif). If you want to process the images on
the fly you should click on Stop with end.txt. The function will then process
all images and wait for the next one to process until a file end.txt exists
in the folder. To stop the function just create a text file with that name in
the folder. After choosing the mode, the following dialog will ask you for the
first image to process which you have to select.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span
style='mso-ansi-language:EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1046"
 type="#_x0000_t75" style='width:252pt;height:164.25pt'>
 <v:imagedata src="Correlation_Guide_2_files/image007.jpg" o:title="grid_generator_1"
  cropbottom="30952f" cropright="25789f"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=336 height=219
src="Correlation_Guide_2_files/image035.jpg" v:shapes="_x0000_i1046"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. Open the first image for RTCorrCode.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>The file you select here will be used to calculate all consecutive file
names to process all the images in the folder. If there is file missing the
code will not proceed. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>After selecting the first image, RTCorrCode will call the grid_generator.m
and allow you to choose a grid (see Chapt. 4 for grid_generator.m).
Alternatively you can preselect a grid and hand it over to the function by
starting it with [validx,validy]=RTCorrCode(grid_x, grid_y);. This can be
handy if you always run the same samples with the same grid on it. Otherwise
you can now select the grid and the function will process the first image and
show a rough estimate of the frames per seconds your computer will be able to
process. If you select the chosen grid, the function will now search for the
next image and correlate it. After correlating the second image RTCorrCode will
show a window with 4 subplots. The one in the upper left corner shows the
actual image and the red crosses are the equivalent of the marker positions.
The upper right diagram shows the displacement vs. marker position and the
linear fit in x-direction while the lower right diagram shows the same in
y-direction. Last but not least, the lower left subplot shows the x- and
y-strain versus image number, where blue is x- and green is y-direction.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>RTCorrCode will leave the following files in the Current Folder:
grid_x.dat, grid_y.dat (saved by grid_generator), resultsimcorrx.txt and
resultsimcorry.txt (which are saved after each processed image) and validx.dat
and validy.dat (after RTCorrCode.m stopped).<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><!--[if gte vml 1]><v:shape id="_x0000_i1047" type="#_x0000_t75"
 style='width:414.75pt;height:303pt'>
 <v:imagedata src="Correlation_Guide_2_files/image036.jpg" o:title="RTCorrCode"/>
</v:shape><![endif]--><![if !vml]><img border=0 width=553 height=404
src="Correlation_Guide_2_files/image037.jpg" v:shapes="_x0000_i1047"><![endif]><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Fig. RTCorrCode will show a window with 4 subplots. The one in the upper
left corner shows the actual image and the red crosses are the equivalent of
the marker positions. The upper right diagram shows the displacement vs. marker
position and the linear fit in x-direction while the lower right diagram shows
the same in y-direction. Last but not least, the lower left subplot shows the
x- and y-strain versus image number, where blue is x- and green is y-direction.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Input and output files:<o:p></o:p></span></b></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>Image files</span></b><span
style='mso-ansi-language:EN-US'> should be 8 bit greyscale Tiff (*.tif) images
and should be named with a increasing number at the end. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>If you want to use filelist_generator.m, the filename should be
something like PIC0 or<span style='mso-spacerun:yes'>  </span>PIC1 plus the
number at the end scaling from 0001 to<span style='mso-spacerun:yes'> 
</span>9999. The full name would be for the first file PIC10001.tif. If you
need to process more than 9999 image then you have to modify
filelist_generator.m or write an email to us. The <b style='mso-bidi-font-weight:
normal'>filenamelist.mat</b> is a matlab file since it was easier to combine
text and numbers into one file by just saving it in this format. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>time_image.txt</span></b><span
style='mso-ansi-language:EN-US'> contains the time the image was captured.
Please keep in mind that using other software to change the name or the format
after capturing the images can lead to a change of the date and capturing time
of the images. It happens that the software will change the name of the images
and the new creation date and time of each image will be the time it was
renamed. Programs like Irfanview have the option to preserve the original time
of the images. This option has to be checked to make sure you can match stress
and strain at the end of your analysis.<o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>grid_x.dat</span></b><span
style='mso-ansi-language:EN-US'> and <b style='mso-bidi-font-weight:normal'>grid_y.dat</b>
are the files containing the x- and y-pixel position of the starting grid
created by the grid_generator.m function. If you want to create your own
grids, you can do that with excel and save them as tab delimited ASCII files.
Both files can be organized as column vectors or matrices, as long as they are
equal. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>validx.dat</span></b><span
style='mso-ansi-language:EN-US'> and <b style='mso-bidi-font-weight:normal'>vaildy.dat</b>
are both ASCII formatted tab delimited files which contain in columns the
position of each marker for each image. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><b style='mso-bidi-font-weight:
normal'><span style='mso-ansi-language:EN-US'>fitxy.dat</span></b><span
style='mso-ansi-language:EN-US'> will be only saved if you use
peak_labelling.m or pickpeak.m and contains all fitting parameters for each
peak. <o:p></o:p></span></p>

<span style='font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:DE;mso-bidi-language:
AR-SA'><br clear=all style='page-break-before:always'>
</span>

<p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt;
mso-bidi-font-size:12.0pt;mso-ansi-language:EN-US'>7. Acknowledgement</span><span
style='mso-ansi-language:EN-US'><o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'>Prof. W. N. Sharpe J. provided some helpful hints what would be
important to the user and what would be a waste of time ;-). I want to
acknowledge him since it is always a pleasure to work in his lab at the JHU. <o:p></o:p></span></p>

<p class=MsoNormal style='text-align:justify'><span style='mso-ansi-language:
EN-US'><span style='mso-spacerun:yes'> </span><o:p></o:p></span></p>

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