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Proceedings Article

Orthogonality of Zernike polynomials

[+] Author Affiliations
Victor L. Genberg, Gregory J. Michels

Sigmadyne, Inc. (USA)

Keith B. Doyle

Optical Research Associates (USA)

Proc. SPIE 4771, Optomechanical Design and Engineering 2002, 276 (September 9, 2002); doi:10.1117/12.482169
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From Conference Volume 4771

  • Optomechanical Design and Engineering 2002
  • Alson E. Hatheway
  • Seattle, WA | July 07, 2002

abstract

Zernike polynomials are an orthogonal set over a unit circle and are often used to represent surface distortions from FEA analyses. There are several reasons why these coefficients may lose their orthogonality in an FEA analysis. The effects, their importance, and techniques for identifying and improving orthogonality are discussed. Alternative representations are presented.

© (2002) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Victor L. Genberg ; Gregory J. Michels and Keith B. Doyle
"Orthogonality of Zernike polynomials", Proc. SPIE 4771, Optomechanical Design and Engineering 2002, 276 (September 9, 2002); doi:10.1117/12.482169; http://dx.doi.org/10.1117/12.482169


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