topic Re: Georeferencing: 3rd order polynomial transformation formula? in Data Management Questions

Georeferencing: 3rd order polynomial transformation formula?

TaoWang — Mon, 21 Feb 2011 09:59:05 GMT

is there anyone who know the formula of polynomial transformation used in Georeferencing?
I just want to do some evaluating of the geo-registeration result.
thanks a lot.

Re: Georeferencing: 3rd order polynomial transformation formula?

TaoWang — Mon, 21 Feb 2011 23:17:49 GMT

i used 'guess' method and implemented this LSF of 2nd equation.
yes, it is.

thank you very much, huber!

Re: Georeferencing: 3rd order polynomial transformation formula?

TaoWang — Mon, 21 Feb 2011 23:34:08 GMT

in esriDataSourcesRaster.PolynomialXform
the coefficient can be acquired as: coarr=aPolynom.GetCoefficients(esriTransformForward)
then the function is as:
        x = coarr(0, 0) + coarr(1, 0) * dx + coarr(2, 0) * dy + coarr(3, 0) * dx * dy + _
                coarr(4, 0) * dx * dx + coarr(5, 0) * dy * dy + _
                coarr(6, 0) * dx * dx * dy + coarr(7, 0) * dy * dy * dx + _
                coarr(8, 0) * dx * dx * dx + coarr(9, 0) * dy * dy * dy
        y = coarr(0, 1) + coarr(1, 1) * dx + coarr(2, 1) * dy + coarr(3, 1) * dx * dy + _
                coarr(4, 1) * dx * dx + coarr(5, 1) * dy * dy + _
                coarr(6, 1) * dx * dx * dy + coarr(7, 1) * dy * dy * dx + _
                coarr(8, 1) * dx * dx * dx + coarr(9, 1) * dy * dy * dy
where (dx,dy) is the source point.

Re: Georeferencing: 3rd order polynomial transformation formula?

TaoWang — Tue, 22 Feb 2011 00:29:09 GMT

then what is the methodology of Adjust and Spline?