Re: Circular interpolation

John D'Errico wrote:
Are you looking for a function of (r,theta) that can
predict a value at any point, given information at only
those 4 angles?

Yes I think so.

Another example because its hard for me to explain it on english.

You have a Matrix like this:

0 0 1 0 0
0 0 0 0 0
2 0 0 0 2
0 0 0 0 0
0 0 1 0 0

Points that are on my circle:
M(1,3)
M(2,2) M(2,4)
M(3,1) M(3,5)
M(4,2) M(4,4)
M(5,3)

But I only know the four non zeros in the matrix.
So I woud like to get those zeros that are on the circle by
interpolation between for example M(1,3) and M(3,1).
M(2,2) would be 1.5

So in this example the Matrix should be like this after interpolation

0 0 1 0 0
0 1.5 0 1.5 0
2 0 0 0 2
0 1.5 0 1.5 0
0 0 1 0 0
.

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