Interpolation between two surfaces with same grid

I have two different matrices (or surfaces) of the same size which also use the same XY grid. I want to interpolate between these two matrices to create another matrix. Since they already have the same grid I don't how I could apply the 'interp' command to this problem.

I found a related Q&A here: https://de.mathworks.com/matlabcentral/answers/231424-how-to-interpolate-between-two-3d-shapes

But to me it is very important to be able to chose the inter- and extrapolation method.

A simple example:

[x,y] = meshgrid(-4:4,-4:4);
M1    = magic(4)./4;
M2    = fliplr(M1)-4;

[darova]

• I want to interpolate between these two matrices to create another matrix

Please explain more precisely

[darova]

What you are trying to achieve is still unclear for me. Maybe you have a picture of the result you want to get?

Answer 1

[Cameron B]

Try using the interp3 function.