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Search results with tag "Zernike polynomials"
Orthogonality of Zernike Polynomials - Sigmadyne
www.sigmadyne.comThe “Standard Zernike” polynomials as defined above have a value of 1.0 at ρ=1. CodeV uses this normalization. The surface RMS of each CodeV unit Zernike polynomial is:
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
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 …