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Proceedings Paper

Iterative phase gradient estimation from fringe patterns
Author(s): Jesus Munoz; Gonzalo Paez; Marija Strojnik
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Paper Abstract

A novel method for phase gradient extraction from fringe patterns is described. We use the sine and cosine of the phase as they are obtained with phase shifting techniques or Fourier methods. The phase gradient is approximated using simultaneously forward and backward phase differences. The resulting set of simultaneous linear equations is solved using iterative procedures. This avoids solving for the phase as a previous step to obtain the searched phase derivatives, decreasing processing time. The method is noise tolerant, incorporating regularization terms to constrain the solution to be smooth. The recovered phase derivatives may be used in surface strain analysis or for the purposes of phase recovery.

Paper Details

Date Published: 6 November 2003
PDF: 8 pages
Proc. SPIE 5174, Novel Optical Systems Design and Optimization VI, (6 November 2003); doi: 10.1117/12.503535
Show Author Affiliations
Jesus Munoz, Ctr. de Investigaciones en Optica (Mexico)
Gonzalo Paez, Ctr. de Investigaciones en Optica (Mexico)
Marija Strojnik, Ctr. de Investigaciones en Optica (Mexico)

Published in SPIE Proceedings Vol. 5174:
Novel Optical Systems Design and Optimization VI
Jose M. Sasian; R. John Koshel; Paul K. Manhart, Editor(s)

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