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I am an expert of Zernike moment application for image processing in Japan. I guess these 2 parameters means; n : order of moments m : degree of repetition.
https://en.wikipedia.org/wiki/Zernike_polynomials
If you visualize Zernike polynomial (weight function for moment calculation), Order of Zernike polynomials are related to the number of concentric circular division and degree of repetition are related to the number of circular sectors.
