Grid (or matrix) transformations - newbie question

Hi,


I have a grid or matrix of floating point values. Each cell represents
an area of say 1x1km (or 1x1 mile - it doesn't matter here).

Now I need to "transform" somehow this to another matrix which only
partially covers the same actual area as the first one. It has another
origin, is rotated and has another size of cells.

Anyone who could point me in the right direction considering choice of
algorithm for this - or somewhere to read more about this? I've made
some solutions that work pretty good in the examples I have tested so
far but
1) I have a nag that in other cases my algorithm will yield less good
results and/or consume too much CPU time
2) I am pretty sure I can't be the first one with a problem like this.
It's a little like all those things you can do in a photo processing
application on the PC except my domain is more general (not being
constrained to RGB values) and my problem has a geographical extent so
sometimes I have to go beyound strictly rectangular metric coordinate-
systems.


Rgds, Hans Olav
.

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