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Optical Engineering

Phase-unwrapping algorithm by a rounding-least-squares approach
Author(s): Rigoberto Juarez-Salazar; Carlos Robledo-Sanchez; Fermin Guerrero-Sanchez
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Paper Abstract

A simple and efficient phase-unwrapping algorithm based on a rounding procedure and a global least-squares minimization is proposed. Instead of processing the gradient of the wrapped phase, this algorithm operates over the gradient of the phase jumps by a robust and noniterative scheme. Thus, the residue-spreading and over-smoothing effects are reduced. The algorithm’s performance is compared with four well-known phase-unwrapping methods: minimum cost network flow (MCNF), fast Fourier transform (FFT), quality-guided, and branch-cut. A computer simulation and experimental results show that the proposed algorithm reaches a high-accuracy level than the MCNF method by a low-computing time similar to the FFT phase-unwrapping method. Moreover, since the proposed algorithm is simple, fast, and user-free, it could be used in metrological interferometric and fringe-projection automatic real-time applications.

Paper Details

Date Published: 6 February 2014
PDF: 8 pages
Opt. Eng. 53(2) 024102 doi: 10.1117/1.OE.53.2.024102
Published in: Optical Engineering Volume 53, Issue 2
Show Author Affiliations
Rigoberto Juarez-Salazar, Benemérita Univ. Autónoma de Puebla (Mexico)
Carlos Robledo-Sanchez, Benemérita Univ. Autónoma de Puebla (Mexico)
Fermin Guerrero-Sanchez, Benemérita Univ. Autónoma de Puebla (Mexico)

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