Orthogonality of Zernike polynomials

Victor L. Genberg; Gregory J. Michels; Keith B. Doyle

doi:10.1117/12.482169

9 September 2002 Orthogonality of Zernike polynomials

Victor L. Genberg, Gregory J. Michels, Keith B. Doyle

Proceedings Volume 4771, Optomechanical Design and Engineering 2002; (2002) https://doi.org/10.1117/12.482169
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

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.

Citation Download Citation

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

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