Display World Coordinate Mapping

Display World Coordinate Mapping

Transforming to world coordinates ================================= 

Basis functions:


   The functions of the pixel coordinates I,J given here as a colon (:)
   separated list are fitted to the world coordinates X,Y after the latter
   has been prescaled (see next item).




Prescaling functions for world coordinates:


   The two functions of the world coordinates given here are those used to
   prescale the world coordinate data prior to fitting the basis functions.
   We shall call the first of these functions 'A' and the second 'B'.




Postscaling functions for world coordinates:


   The postscaling functions of A and B should invert the prescaling
   functions. For example, if A was LN(X), then we should specify the
   postscaling function for X as EXP(A).




Pixel to world transformation coefficients


   These are the coefficients used for the pixel to world transformation. The
   coefficients are in the same order as the corresponding functions in the
   colon separated list.








Transforming to pixel coordinates
=================================


Basis functions:


   The functions of the world coordinates X,Y given here as a colon (:)
   separated list are fitted to the pixel coordinates I,J after the latter
   has been prescaled (see next item).




Prescaling functions for pixel coordinates:


   The two functions of the pixel coordinates given here are those used to
   prescale the pixel coordinate data prior to fitting the basis functions.
   We shall call the first of these functions 'A' and the second 'B'.




Postscaling functions for pixel coordinates:


   The postscaling functions of A and B should invert the prescaling
   functions. For example, if A was LN(I), then we should specify the
   postscaling function for I as EXP(A).




World to pixel transformation coefficients


   These are the coefficients used for the world to pixel transformation. The
   coefficients are in the same order as the corresponding functions in the
   colon separated list.








The mapping was based on the following points:


   This list shows the pixel and world coordinates of the points on which the
   coordinate mapping was based.





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Stuart Dalziel,
last page update: 19 February 1996