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Proceedings Paper

Mechanism for surface fitting of interferometric slope data
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Paper Abstract

One approach for obtaining a surface representation is to fit Zernike polynomials (in a least squares sense) to discrete data points in the full aperture. The mathematics for this have been described using both matrix and vector notation. Additionally, vector notation has been used to describe how to obtain a surface representation from orthogonal (x, y) slope data. The result of that paper was a matrix operator for linearly combining the first eight Zernike polynomial coefficients fit to x- and y-slope data to produce a Zernike polynomial surface representation. This paper extends that process by presenting a systematic approach for obtaining the linear relationship between slope and surface using the first 49 Zernike polynomials.

Paper Details

Date Published: 10 December 1993
PDF: 9 pages
Proc. SPIE 2003, Interferometry VI: Techniques and Analysis, (10 December 1993); doi: 10.1117/12.165455
Show Author Affiliations
David J. Fischer, Rose-Hulman Institute of Technology (United States)
H. Philip Stahl, Rose-Hulman Institute of Technology (United States)


Published in SPIE Proceedings Vol. 2003:
Interferometry VI: Techniques and Analysis
Osuk Y. Kwon; Gordon M. Brown; Malgorzata Kujawinska, Editor(s)

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