(Need Help) How to Obtain 2D Interpolation Coefficient?

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Changwoo Lee
Changwoo Lee 2021-10-29
编辑： Changwoo Lee 2021-10-29
I have a pre-setup 2D matrix whose size is [N x N].
Using this data, I want to find the each coefficient k in the below specific funtion.
z=k11*x^2+k22*y^2+...
k12*x*y+...
k1*x+k2*y+k0;
What's the simplest way to obtain these coefficients in Matlab?
It seems that the command 'interp2' does not provide these coefficients.
  2 个评论
Matt J
Matt J 2021-10-29
You have y on both the left and right hand side of the equation. Are they the same y or did you mean
z=k11*x^2+k22*y^2+...
k12*x*y+...
k1*x+k2*y+k0;
Changwoo Lee
Changwoo Lee 2021-10-29
编辑：Changwoo Lee 2021-10-29
The equation in reply is correct. I modified the equation in my question.

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采纳的回答

Matt J
Matt J 2021-10-29
编辑：Matt J 2021-10-29
If you have the Curve Fitting Toolbox, you can follow this example
https://www.mathworks.com/help/curvefit/polynomial.html#d123e5178
except you would use the 'poly22' model instead of 'poly44'
If you don't have the toolbox, then see one of these FEX submissions.
https://www.mathworks.com/matlabcentral/fileexchange/13719-2d-weighted-polynomial-fitting-and-evaluation?s_tid=srchtitle
https://www.mathworks.com/matlabcentral/fileexchange/34765-polyfitn?s_tid=srchtitle

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