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    <title>MATLAB Central Newsreader - Skewing a 2D grid to fit experimental data</title>
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      <pubDate>Sat, 24 Jan 2009 10:52:01 -0500</pubDate>
      <title>Skewing a 2D grid to fit experimental data</title>
      <link>http://www.mathworks.com/matlabcentral/newsreader/view_thread/243039#623672</link>
      <author>Peter </author>
      <description>I have a set of XY data points that should lie on a regular gird. But as the data is experimental data it suffers from skewing and squashing etc. I would like to to be able to take what should be a perfect grid and somehow fit it to my experimental data. Then I would be able make predictions about the locations of the next set of grid points outside my experimental data.&lt;br&gt;
&lt;br&gt;
Can anybody point me in the direction of a function that may do this?&lt;br&gt;
&lt;br&gt;
The data comes from scanning tunnelling microscope images of surface crystals. These images suffer from thermal and piezo drift which skews and squashes the image. Once I've located a few of the positions of the unit cells in the image I would like to be able to make predictions as to where the others may be. Hence the fitting of the 2D grid.</description>
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      <pubDate>Sat, 24 Jan 2009 11:40:21 -0500</pubDate>
      <title>Re: Skewing a 2D grid to fit experimental data</title>
      <link>http://www.mathworks.com/matlabcentral/newsreader/view_thread/243039#623675</link>
      <author>Per Sundqvist</author>
      <description>&quot;Peter &quot; &amp;lt;peter@nprl.ph.bham.ac.uk&amp;gt; wrote in message &amp;lt;glersh$89q$1@fred.mathworks.com&amp;gt;...&lt;br&gt;
&amp;gt; I have a set of XY data points that should lie on a regular gird. But as the data is experimental data it suffers from skewing and squashing etc. I would like to to be able to take what should be a perfect grid and somehow fit it to my experimental data. Then I would be able make predictions about the locations of the next set of grid points outside my experimental data.&lt;br&gt;
&amp;gt; &lt;br&gt;
&amp;gt; Can anybody point me in the direction of a function that may do this?&lt;br&gt;
&amp;gt; &lt;br&gt;
&amp;gt; The data comes from scanning tunnelling microscope images of surface crystals. These images suffer from thermal and piezo drift which skews and squashes the image. Once I've located a few of the positions of the unit cells in the image I would like to be able to make predictions as to where the others may be. Hence the fitting of the 2D grid.&lt;br&gt;
&lt;br&gt;
Try the interpolation:&lt;br&gt;
&lt;br&gt;
help griddata&lt;br&gt;
&lt;br&gt;
/Per</description>
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