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Proceedings Paper

Computation of the circle polynomials of Zernike
Author(s): Phillip R. Riera
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Paper Abstract

The circle polynomials of Zernike are a vital tool in the analysis of optical systems. Decomposition of wavefronts into Zernike polynomials can be insightful. Computation in the Zernike basis, however, is quite cumbersome and inefficient. This paper will address how rational polynomials such as Zernike, Laguerre, Legendre and Chebyshev can be represented as affine combinations of a Taylor monomial set. This paper also demonstrates the efficiency of common routines using a Taylor basis as well as implementation and optimization issues.

Paper Details

Date Published: 11 December 2003
PDF: 9 pages
Proc. SPIE 5162, Advanced Wavefront Control: Methods, Devices, and Applications, (11 December 2003); doi: 10.1117/12.507565
Show Author Affiliations
Phillip R. Riera, WaveFront Sciences, Inc. (United States)

Published in SPIE Proceedings Vol. 5162:
Advanced Wavefront Control: Methods, Devices, and Applications
John D. Gonglewski; Mikhail A. Vorontsov; Mark T. Gruneisen, Editor(s)

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