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    <title>topic Math behind first order polynomial transformation in Geoprocessing Questions</title>
    <link>https://community.esri.com/t5/geoprocessing-questions/math-behind-first-order-polynomial-transformation/m-p/40824#M1485</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hello,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I'm working on a standalone project for geoprocessing GEOTIFF images. I am using GDAL for this.&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;A particular dataset contains a spatial reference that is not interpreted by GDAL, and I've been told that it has been created using ArcGIS.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I can see an .aux.xml file, and in there a first order polynomial transformation, having a source and target GCP, each with 8 double parameters.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Can anyone help me with a pointer on the math behind this polynomial so I can implement the required functionality myself? FWIW, my goal is to convert geodetic lat/lon coordinates into raster x,y coordinates.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;TIA&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Wed, 09 Feb 2011 20:50:12 GMT</pubDate>
    <dc:creator>FernandoCacciola</dc:creator>
    <dc:date>2011-02-09T20:50:12Z</dc:date>
    <item>
      <title>Math behind first order polynomial transformation</title>
      <link>https://community.esri.com/t5/geoprocessing-questions/math-behind-first-order-polynomial-transformation/m-p/40824#M1485</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hello,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I'm working on a standalone project for geoprocessing GEOTIFF images. I am using GDAL for this.&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;A particular dataset contains a spatial reference that is not interpreted by GDAL, and I've been told that it has been created using ArcGIS.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I can see an .aux.xml file, and in there a first order polynomial transformation, having a source and target GCP, each with 8 double parameters.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Can anyone help me with a pointer on the math behind this polynomial so I can implement the required functionality myself? FWIW, my goal is to convert geodetic lat/lon coordinates into raster x,y coordinates.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;TIA&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Wed, 09 Feb 2011 20:50:12 GMT</pubDate>
      <guid>https://community.esri.com/t5/geoprocessing-questions/math-behind-first-order-polynomial-transformation/m-p/40824#M1485</guid>
      <dc:creator>FernandoCacciola</dc:creator>
      <dc:date>2011-02-09T20:50:12Z</dc:date>
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    <item>
      <title>Re: Math behind first order polynomial transformation</title>
      <link>https://community.esri.com/t5/geoprocessing-questions/math-behind-first-order-polynomial-transformation/m-p/40825#M1486</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;the online help files...&lt;/SPAN&gt;&lt;BR /&gt;&lt;A href="http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html?TopicName=welcome"&gt;http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html?TopicName=welcome&lt;/A&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;where the following link was found...&lt;/SPAN&gt;&lt;BR /&gt;&lt;A href="http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#//009t000000mn000000.htm"&gt;http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#//009t000000mn000000.htm&lt;/A&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;re:&amp;nbsp; "my goal is to convert geodetic lat/lon coordinates into raster x,y coordinates"&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;why don't you project the data to an appropriate projection?&amp;nbsp; or am I missing something?&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Thu, 10 Feb 2011 19:46:50 GMT</pubDate>
      <guid>https://community.esri.com/t5/geoprocessing-questions/math-behind-first-order-polynomial-transformation/m-p/40825#M1486</guid>
      <dc:creator>DanPatterson_Retired</dc:creator>
      <dc:date>2011-02-10T19:46:50Z</dc:date>
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