how to create 2D polynomial regression?

2015 12 30
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更新时间：2016 1 5
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hi I have a 22x34 image. how to create a function just like ax^2+by^2+cxy+dx+ey+f to fit this image

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dpb
dpb 2015-12-30

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If have CurveFitting Toolbox,
sf = fit([x, y], z, 'poly22'); % doc fit for details...
If not, write the specific model matrix and use \ to solve.
doc mldivide % illustrates
Oh, or if have Statistics Toolbox, there's the regress linear regression method.

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Image Analyst
Image Analyst 2015-12-30

1 个投票

You can use John D'Errico's polyfitn in the File Exchange: http://www.mathworks.com/matlabcentral/fileexchange/34765-polyfitn.
Attached is an example of how I used it to correct (flatten) a background.

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