Fast discontinuous phase unwrapping based on orientation diagram transformation
Keywords:
Discontinuity recognition, Orientation diagram transformation, Phase unwrapping, Weighted least square methodAbstract
The phase discontinuity caused by the geometric mutation has always been a challenging problem in phase unwrapping. To solve this problem, a fast discontinuous phase unwrapping algorithm based on orientation and transformation was proposed. In the proposed algorithm, the structure tensor of the image was used to estimate the orientation of the wrapped phase diagram. The reliable weight coefficient diagram obtained from transformation and difference calculation of the orientation diagram was taken as the weight of the weighted least square method, and used the preprocessed conjugate gradient method to solve iteratively. This algorithm could quickly find the discontinuous regions, and performed a separate phase unwrapping in the discontinuous regions, which had good recognition and unwrapping effect. The principle and implementation steps of the algorithm were described in detail, and the algorithm was verified by simulation and experimental data. The experimental results show that the root mean square error of phase unwrapping is 0.36, which proves that this algorithm can quickly and accurately unwrap the discontinuous wrapped phase. Copyright ©2021 Journal of Applied Optics. All rights reserved.
References
ZHANG S, YAU S T., High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method, Optics Express, 14, 7, pp. 2644-2649, (2006);
SAM V D J, DIRCKX J J J., Real-time structured light profilometry: a review, Optics and Lasers in Engineering, 87, pp. 18-31, (2016);
SHI Yaoqun, DENG Linjia, WANG Zhaoxu, Et al., Micro-objects measurement system based on structured light fringe projection, Journal of Applied Optics, 40, 6, pp. 1120-1125, (2019);
ZHANG Song, Absolute phase retrieval methods for digital fringe projection profilometry: a review, Optics and Lasers in Engineering, 107, pp. 28-37, (2018);
YU H, LAN Y, YUAN Z, Et al., Phase unwrapping in InSAR: a review, IEEE, 7, 1, pp. 40-58, (2019); CAI Z W, LIU X L, PEDRINI G, Et al., Structured-light-field 3D imaging without phase unwrapping, Optics and Lasers in Engineering, 129, (2020);
WANG Lin, HAN Xu, FU Yanjun, Et al., Fast phase unwrapping algorithm for 3D measurement, Journal of Applied Optics, 40, 2, pp. 271-277, (2019);
LIU Lu, PAN Yanjuan, XI Dongdong, Et al., Phase unwrapping errors correction for phase-encoding based on fringe projection profilometry, Journal of Applied Optics, 41, 5, pp. 978-983, (2020);
XIANG S, YANG Y, DENG H P, Et al., Multi-anchor spatial phase unwrapping for fringe projection profilometry, Optics Express, 27, 23, pp. 33488-33503, (2019);
ZUO C, HUANG L, ZHANG M L, Et al., Temporal phase unwrapping algorithms for fringe projection profilometry: a comparative review, Optics and Lasers in Engineering, 85, pp. 84-103, (2016);
SERVIN M, PADILLA M, GARNICA G., Super-sensitive two-wavelength fringe projection profilometry with 2-sensitivities temporal unwrapping, Optics and Lasers in Engineering, 106, pp. 68-74, (2018);
FU Yanjun, WENG Lingxiao, HU Ming, Research on critical method of large objects three-dimensional measurement based on monocular structured light, Journal of Applied Optics, 39, 2, pp. 212-219, (2018);
AREVALILLO-HERRAEZ M, VILLATORO F R, GDEISAT M A., A robust and simple measure for quality guided 2D phase unwrapping algorithms, IEEE, 25, 6, pp. 2601-2609, (2016);
YAN L P, ZHANG H Y, ZHANG R, Et al., A robust phase unwrapping algorithm based on reliability mask and weighted minimum least-squares method, Optics and Lasers in Engineering, 112, pp. 39-45, (2019);
YU H, WANG W Y, ZHUANG L, Et al., Improved weighted least-squares phase unwrapping method for interferometric SAR processing, The Journal of Engineering, 2019, 20, pp. 6471-6474, (2019);
PINEDA J, BACCA J, MEZA J, Et al., SPUD: simultaneous phase unwrapping and denoising algorithm for phase imaging, Applied Optics, 59, 13, pp. 81-88, (2020);
CUI H, LIAO W, NING D, Et al., Reliability-guided phase-unwrapping algorithm for the measurement of discontinuous three-dimensional objects, Optical Engineering, 50, 6, pp. 409-421, (2011);
GHIGLIA D C, ROMERO L A., Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods, Journal of the Optical Society of America A, 11, 1, pp. 107-117, (1994);
LU Y G, WANG X Z, ZHANG X P., Weighted least-squares phase unwrapping algorithm based on derivative variance correlation map, Optik-International Journal for Light and Electron Optics, 118, 2, pp. 62-66, (2006);
XIA H T, MONTRESOR S, GUO R X, Et al., Phase calibration unwrapping algorithm for phase data corrupted by strong decorrelation speckle noise, Optics Express, 24, 25, pp. 28713-28730, (2016)
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Journal of Applied Optics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The CC Attribution-NonCommercial 4.0 License allows sharing and adapting the work, provided the creator is credited and the work is not used commercially. Modifications must be indicated, and derivative works under the same license are allowed.
