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    <title>topic Use of polynomial function equation for grid transformation in Coordinate Reference Systems Questions</title>
    <link>https://community.esri.com/t5/coordinate-reference-systems-questions/use-of-polynomial-function-equation-for-grid/m-p/792046#M589</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;I have a cartographic project in Greece. The raster data go back in' 50s and '60s. That time the&amp;nbsp;geographic&amp;nbsp;system that was used was HATT (hellenic azimuthial). As a result the most of my raster file use that strange grid. The greek military geography service has published a method for the transformation of the hatt grid data to Greek Grid (2100). This method uses 2nd degree polyonomial function as you can see bellow&lt;/P&gt;&lt;P&gt;&lt;IMG class="image-1 jive-image" src="https://community.esri.com/legacyfs/online/385509_pastedImage_1.png" style="width: auto; height: auto;" /&gt;&lt;/P&gt;&lt;P&gt;Where:&lt;/P&gt;&lt;P&gt;Αx and Bx are factors given by GMS&amp;nbsp;&lt;/P&gt;&lt;P&gt;Χi, Yi&amp;nbsp; &amp;nbsp;the coordinates in HATT system&amp;nbsp; and&lt;/P&gt;&lt;P&gt;Ei,Ni&amp;nbsp; &amp;nbsp; the&amp;nbsp;result&amp;nbsp;&lt;SPAN&gt;coordinates&lt;/SPAN&gt; in Greek Grid (epsg 2100).&lt;/P&gt;&lt;P&gt;&amp;nbsp;It a problem&amp;nbsp; that i can solve easily in excel but i need to create a custom transformation to use with raster data.&amp;nbsp;&lt;/P&gt;&lt;P&gt;unfortunately CreateCustomGeoTransformation doesn't seem to support a custom equation only the following&lt;/P&gt;&lt;P&gt;&lt;SPAN style="color: #4d4d4d; background-color: #ffffff;"&gt;Geocentric_Translation, Molodensky, Molodensky_Abridged, Position_Vector, Coordinate_Frame, Molodensky_Badekas, NADCON, HARN, NTV2, Longitude_Rotation, Unit_Change, and Geographic_2D_Offset&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;Any ideas?&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Sat, 02 Dec 2017 22:34:08 GMT</pubDate>
    <dc:creator>MakisLeras02-16-17</dc:creator>
    <dc:date>2017-12-02T22:34:08Z</dc:date>
    <item>
      <title>Use of polynomial function equation for grid transformation</title>
      <link>https://community.esri.com/t5/coordinate-reference-systems-questions/use-of-polynomial-function-equation-for-grid/m-p/792046#M589</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;I have a cartographic project in Greece. The raster data go back in' 50s and '60s. That time the&amp;nbsp;geographic&amp;nbsp;system that was used was HATT (hellenic azimuthial). As a result the most of my raster file use that strange grid. The greek military geography service has published a method for the transformation of the hatt grid data to Greek Grid (2100). This method uses 2nd degree polyonomial function as you can see bellow&lt;/P&gt;&lt;P&gt;&lt;IMG class="image-1 jive-image" src="https://community.esri.com/legacyfs/online/385509_pastedImage_1.png" style="width: auto; height: auto;" /&gt;&lt;/P&gt;&lt;P&gt;Where:&lt;/P&gt;&lt;P&gt;Αx and Bx are factors given by GMS&amp;nbsp;&lt;/P&gt;&lt;P&gt;Χi, Yi&amp;nbsp; &amp;nbsp;the coordinates in HATT system&amp;nbsp; and&lt;/P&gt;&lt;P&gt;Ei,Ni&amp;nbsp; &amp;nbsp; the&amp;nbsp;result&amp;nbsp;&lt;SPAN&gt;coordinates&lt;/SPAN&gt; in Greek Grid (epsg 2100).&lt;/P&gt;&lt;P&gt;&amp;nbsp;It a problem&amp;nbsp; that i can solve easily in excel but i need to create a custom transformation to use with raster data.&amp;nbsp;&lt;/P&gt;&lt;P&gt;unfortunately CreateCustomGeoTransformation doesn't seem to support a custom equation only the following&lt;/P&gt;&lt;P&gt;&lt;SPAN style="color: #4d4d4d; background-color: #ffffff;"&gt;Geocentric_Translation, Molodensky, Molodensky_Abridged, Position_Vector, Coordinate_Frame, Molodensky_Badekas, NADCON, HARN, NTV2, Longitude_Rotation, Unit_Change, and Geographic_2D_Offset&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;Any ideas?&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Sat, 02 Dec 2017 22:34:08 GMT</pubDate>
      <guid>https://community.esri.com/t5/coordinate-reference-systems-questions/use-of-polynomial-function-equation-for-grid/m-p/792046#M589</guid>
      <dc:creator>MakisLeras02-16-17</dc:creator>
      <dc:date>2017-12-02T22:34:08Z</dc:date>
    </item>
    <item>
      <title>Re: Use of polynomial function equation for grid transformation</title>
      <link>https://community.esri.com/t5/coordinate-reference-systems-questions/use-of-polynomial-function-equation-for-grid/m-p/792047#M590</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;I'm sorry that I didn't reply earlier.&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Yes, that's correct. We currently don't support any polynomial transformations in the Esri projection engine. It's possible that's there's a way do a custom transformation using raster functions/tools but I don't know offhand how it would be done.&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Another possibility would be to build a grid of offsets using the polynomial equations and then use the grid (raster) to convert the maps or convert the offsets to use a lat/lon grid file. For the latter make a NTv2 grid or NADCON-style files--then you could use the Create Custom Geographic Transformation tool.&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Melita&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Tue, 19 Dec 2017 20:33:15 GMT</pubDate>
      <guid>https://community.esri.com/t5/coordinate-reference-systems-questions/use-of-polynomial-function-equation-for-grid/m-p/792047#M590</guid>
      <dc:creator>MelitaKennedy</dc:creator>
      <dc:date>2017-12-19T20:33:15Z</dc:date>
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