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Zernike Polynomials

Found 2 free book(s)
Basic Wavefront Aberration Theory for Optical Metrology

Basic Wavefront Aberration Theory for Optical Metrology

wyant.optics.arizona.edu

Zernike 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 …

  Polynomials, Zernike polynomials, Zernike

Fourier Analysis in Polar and Spherical Coordinates

Fourier Analysis in Polar and Spherical Coordinates

lmb.informatik.uni-freiburg.de

The 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

  Fourier, Polynomials, Zernike polynomials, Zernike

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