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General Second Order Polynomial

Updated

The General Second Order Polynomial Datum Shift method provides an interface to define a simple second order polynomial transformation between two Horizontal Datums.   The "A" parameters provide terms for the shift in the Easting, and the "B" parameters provide terms for the shift in the Northing.  The basic formula for computing the difference takes the following form:

    dx = A0 + (Au1v0 * u) + (Au0v1 * v) + (Au2v0 * u^2) + (Auv * uv) + (Au0v2 * v^2)
    dy = B0 + (Bu1v0 * u) + (Bu0v1 * v) + (Bu2v0 * u^2) + (Buv * uv) + (Bu0v2 * v^2)

*Note : a polynomial shift is generally defined for a small area.  Using the method to shift data outside of the pre-defined bounds can lead to undesirable results.

The "General Second Order Polynomial" DatumShift has the following Parameters:

Parameter Name

 Type
A0 Double
Au1v0 Double
Au0v1 Double
Au2v0 Double
Au1v1 Double
Au0v2 Double
B0 Double
Bu1v0 Double
Bu0v1 Double
Bu2v0 Double
Bu1v1 Double
Bu0v2 Double