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6 November 2003 Iterative phase gradient estimation from fringe patterns
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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.
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Jesus Munoz, Gonzalo Paez, and Marija Strojnik "Iterative phase gradient estimation from fringe patterns", Proc. SPIE 5174, Novel Optical Systems Design and Optimization VI, (6 November 2003); https://doi.org/10.1117/12.503535
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