9 September 2002 Orthogonality of Zernike polynomials
Author Affiliations +
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 Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Victor L. Genberg, Gregory J. Michels, Keith B. Doyle, "Orthogonality of Zernike polynomials", Proc. SPIE 4771, Optomechanical Design and Engineering 2002, (9 September 2002); doi: 10.1117/12.482169; https://doi.org/10.1117/12.482169
PROCEEDINGS
11 PAGES


SHARE
RELATED CONTENT

Opto-mechanical analysis of mirror mounting mechanism
Proceedings of SPIE (September 18 2013)
Mountings for a four-meter glass mirror
Proceedings of SPIE (October 01 1990)
Visor-projected display using a spherical combiner
Proceedings of SPIE (December 01 1993)
Support Systems For Testing Thin Meniscus Optical Mirrors
Proceedings of SPIE (January 05 1984)
The accuracy problem of FEA in the deformation of larger...
Proceedings of SPIE (October 13 2010)

Back to Top