TY - JOUR
T1 - Phase-unwrapping algorithm by a rounding-least-squares approach
AU - Juarez-Salazar, Rigoberto
AU - Robledo-Sanchez, Carlos
AU - Guerrero-Sanchez, Fermin
N1 - Funding Information:
R. Juarez-Salazar is grateful for the scholarship from the Consejo Nacional de Ciencia y Tecnología (CONACYT), México. C. Robledo-Sanchez thanks the support from CONACYT. The authors thank N. Keranen for her advice on wording.
PY - 2014/2
Y1 - 2014/2
N2 - 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 phaseunwrapping 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.
AB - 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 phaseunwrapping 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.
KW - fringe analysis
KW - phase measurement
KW - phase unwrapping
UR - http://www.scopus.com/inward/record.url?scp=84897814398&partnerID=8YFLogxK
U2 - 10.1117/1.OE.53.2.024102
DO - 10.1117/1.OE.53.2.024102
M3 - Artículo
SN - 0091-3286
VL - 53
JO - Optical Engineering
JF - Optical Engineering
IS - 2
M1 - 024102
ER -