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Zernike Polynomials
Found 2 free book(s)Basic Wavefront Aberration Theory for Optical Metrology
wyant.optics.arizona.eduZernike polynomials have three properties that distinguish them from other sets of orthogonal polynomials. First, they have simple rotational symmetry properties that lead to a polynomial product of the form (49) where G (θ′ ) is a continuous function that …
Fourier Analysis in Polar and Spherical Coordinates
lmb.informatik.uni-freiburg.deThe Zernike polynomials are a set of orthogonal polynomials defined on a unit disk, which have the same angular part as (4). The SH transform works on the spherical surface. When it is used for 3D volume data, the SH features (extracted from SH coefficients) can be calculated