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Use of polynomial function equation for grid transformation

Question asked by mleras021217 on Dec 2, 2017
Latest reply on Dec 19, 2017 by MKennedy-esristaff

I have a cartographic project in Greece. The raster data go back in' 50s and '60s. That time the geographic 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

Where:

Αx and Bx are factors given by GMS 

Χi, Yi   the coordinates in HATT system  and

Ei,Ni    the result coordinates in Greek Grid (epsg 2100).

 It a problem  that i can solve easily in excel but i need to create a custom transformation to use with raster data. 

unfortunately CreateCustomGeoTransformation doesn't seem to support a custom equation only the following

Geocentric_Translation, Molodensky, Molodensky_Abridged, Position_Vector, Coordinate_Frame, Molodensky_Badekas, NADCON, HARN, NTV2, Longitude_Rotation, Unit_Change, and Geographic_2D_Offset

Any ideas?

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