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Alex Chtchetinine

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10 Dec 2007 Screenshot Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine chemistry, physics, zernike functions, decomposition, series, 2d orthogonal basis 30 8
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07 Apr 2014 Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine Alexander

Thank you for sharing, Alex. Good means for quick and robust illustration of Zernike decomposition.

09 Nov 2012 Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine Francesco

I'm using this code to decompose a wave aberration function. I'm experiencing a problem with the decomposition. Why if I try to expand a function like
F = A*r^4
where A is constant, I get 2 non-negative coefficients: not only the coefficient corresponding to spherical aberrations but also that one who correspond to Field Curvature ?!?!
thanks

16 Jul 2010 Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine Eric

This is an extraordinarily slow way of fitting Zernike coefficients. See "Wavefront fitting with discrete orthogonal polynomials in a unit radius circle" by Malacara, et al, in Optical Engineering, Vol 29, No 6, pages 672-675 for a much more efficient, least-squares approach. You can speed the decomposition up significantly by using linear algebra functions rather than interp2() and dblquad().

13 Nov 2009 Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine Alex Kararg

Any idea if there is a Matlab code for decomposing a 3D shape to Zernike descriptors? Thanks!

31 Dec 2008 Zernike decomposition Decomposition of a 2-D function by set of Zernike functions Author: Alex Chtchetinine Shalin Mehta

This is a good code for illustrating the idea of Zernike decomposition

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