interpolation using 2D look up table

x = 1:3;
y = 4:6;
[X1,Y1] = meshgrid(x,y)
X1 = 3×3
     1     2     3
     1     2     3
     1     2     3
Y1 = 3×3
     4     4     4
     5     5     5
     6     6     6
[X2,Y2] = ndgrid(x,y)
X2 = 3×3
     1     1     1
     2     2     2
     3     3     3
Y2 = 3×3
     4     5     6
     4     5     6
     4     5     6

Transposing all of them should put them in ndgrid format.

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SGK 2024-2-7

For eg

A=[1 2 3]

B=[2 3 4]'

C= 20

But If I know the value of C= 35

is it possible to find the A and B matrices from C buy ndgrid/meshgrid Function?

Star Strider 2024-2-7

You need to have some sort of relation that uses matrices ‘A’ and ‘B’ to produce values of matrix ‘C’ for each element of ‘A’ and ‘B’. After that, given any value within the limits of ‘A’ and ‘B’, you can interpolate to get a new value for ‘C’. You can potentially use any two matrices to interpolate the value of the third matrix, however that likely comes with restrictions, since in that instance there cannot be any repeating values of, and it would be best if was monnotonically increasing or decreasing. It might not be possible to find the ‘A’ and ‘B’ matrices given any specific value of ‘C’ except in some restricted instances. That would certainly not be true generally.

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