Recurrence relations for the Cartesian derivatives of the Zernike polynomials

Recurrence relations for the Cartesian derivatives of the Zernike polynomials

A recurrence relation for the first-order Cartesian derivatives of the Zernike polynomials is derived. This relation is used with the Clenshaw method to determine an efficient method for calculating the derivatives of any linear series of Zernike polynomials.

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2014-04, Vol.31 (4), p.708-715
1. Verfasser: Stephenson, Philip C L
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Sprache:eng
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Americas
Cartesian
Derivatives
Mathematical analysis
Vision
Zernike polynomials
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container_title Journal of the Optical Society of America. A, Optics, image science, and vision
container_volume 31
creator Stephenson, Philip C L
description A recurrence relation for the first-order Cartesian derivatives of the Zernike polynomials is derived. This relation is used with the Clenshaw method to determine an efficient method for calculating the derivatives of any linear series of Zernike polynomials.
doi_str_mv 10.1364/JOSAA.31.000852
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ispartof Journal of the Optical Society of America. A, Optics, image science, and vision, 2014-04, Vol.31 (4), p.708-715
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language eng
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source Optica Publishing Group Journals
subjects Americas
Cartesian
Derivatives
Mathematical analysis
Vision
Zernike polynomials
title Recurrence relations for the Cartesian derivatives of the Zernike polynomials
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