Talk:Zernike polynomials

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[edit] Visual representation

well I just was wondering if someone could give a visual representation of the polynome. In mathworld the expression of the first polynome are given.

It has been used in machine vision to obtain invariant features (rotation and translation and reflexion invariant) under the name of Zernike moment. That why I would be interested in being able to visualize them to understand from where these invariance properties are coming from. They are apparently good because the lower moments (under degree 4) are alledgedly robust to noise and they provide low information redundancy.

There are some expansions at Aberration in optical systems —The preceding unsigned comment was added by 15.235.249.72 (talk) 23:02, August 21, 2007 (UTC)
I have added some plots of the polymials, but none is done for the invariance properties. Rocchini (talk) 07:37, 7 May 2008 (UTC)