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Proceedings Paper

Effective algorithm based on household transformation for wavefront fitting
Author(s): Yongguo Li; Jianqiang Zhu; Xiaojun Cao
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Paper Abstract

A precise algorithm for wavefront fitting using Zernike polynomial is studied which can be applied in the digital wavefront processing. The polynomial coefficients of Zernike can be obtained through solution of overdetermined Ax = W equations by means of Household transformation. Differing from the conventional method of direct constructing normal equation group or the Gram-Schmidt orthogonalization, the new algorithm which utilizing Householder transformation orthogonalizes and triangulate the matrix of overdetermined equations set, and solve the coefficients. It is a healthy fitting algorithm, and computational error which is introduced in the process of constructing normal equation group can be avoided in the new algorithm. It has been proved to be an efficacious algorithm with characteristic of good stability and easy implementation.

Paper Details

Date Published: 23 February 2006
PDF: 6 pages
Proc. SPIE 6150, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 61504H (23 February 2006); doi: 10.1117/12.676629
Show Author Affiliations
Yongguo Li, Shanghai Institute of Optics and Fine Mechanics (China)
Jianqiang Zhu, Shanghai Institute of Optics and Fine Mechanics (China)
Xiaojun Cao, Shanghai Institute of Optics and Fine Mechanics (China)


Published in SPIE Proceedings Vol. 6150:
2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment
Xun Hou; Jiahu Yuan; James C. Wyant; Hexin Wang; Sen Han, Editor(s)

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