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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Bibliographische Detailangaben
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
Format: Artikel
Sprache:eng
Schlagworte:
Americas
Cartesian
Derivatives
Mathematical analysis
Vision
Zernike polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:1084-7529
1520-8532
DOI:10.1364/JOSAA.31.000852