Proposed algorithm for phase unwrapping

Applied Optics

Volumn 41, Issue 35, 2002, Pages 7422-7428

  He, Xiao Yuan ^a   Kang, Xin ^a   Tay, Cho Jui ^b   Quan, Chenggen ^b   Shang, Huai Min ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ERROR CORRECTION; PARTIAL DIFFERENTIAL EQUATIONS; PHASE SHIFT; SURFACES;

PHASE UNWRAPPING;

MOIRE FRINGES;

EID: 0037059097     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.41.007422     Document Type: Article

References (23)

1. X. He, D. Zou, S. Liu, and Y. Guo, “Phase shifting analysis in moire interferometry and its applications in electronic packaging,” Opt. Eng. 37, 1410-1419 (1998).
2. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977-3982 (1983).
3. J. Li, X. Y. Su, L. R. Guo, “An improved Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Opt. Eng. 29, 1439-1444 (1990).
4. C. Quan, X. Y. He, C. F. Wang, C. J. Tay, and H. M. Shang, “Shape measurement of small objects using LCD fringe projection with phase shifting,” Optics Commun. 189, 21-29 (2001).
5. G. Fornaro, G. Franceschetti, R. Lanari, E. Sansosti, and M. Tesauro, “Global and local phase-unwrapping techniques: a comparison,” J. Opt. Soc. Am. A 14, 2702-2708 (1997).
6. N. H. Ching, D. Rosenfeld, and M. Braum, “Two-dimensional phase unwrapping algorithm using a minimum spanning tree algorithm,” IEEE Trans. Image Process. 1, 355-365 (1992).
7. J. R. Buckland, J. M. Huntley, and S. R. E. Turner, “Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm,” Appl. Opt. 34, 5100-5108 (1995).
8. A. Collaro, G. Franceschetti, F. Palmieri, and M. S. Ferreiro, “Phase unwrapping by means of genetic algorithm,” J. Opt. Soc. Am. A 15, 407-418 (1998).
9. J. A. Quiroga, A. Gonzalez-Cano, and E. Bernabeu, “Stable-marriage algorithm for preprocessing phase maps with discontinuity sources,” Appl. Opt. 34, 5029-5038 (1995).
10. J. M. Huntly, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28, 3268-3271 (1989).
11. R. Cusack, J. M. Huntley, and H. T. Goldrein, “Improved noise-immune phase-unwrapping algorithm,” Appl. Opt. 34, 781-789 (1995).
12. M. Takeda, “Phase unwrapping by a maximum crossamplitude spanning tree algorithm: a comparative study,” Opt. Eng. 35, 2345-2351 (1996).
13. J. M. Huntley and J. R. Buckland, “Characterization of sources of 2w-phase discontinuity in speckle interferograms,” J. Opt. Soc. Am. A 12, 1990-1996 (1995).
14. M. Costantini, A. Farina, and F. Zirilli, “A fast phase unwrapping algorithm for SAR interferometry,” IEEE Trans. Geosci. Remote Sens. 37, 452-460 (1999).
15. M. Costantini, P. A. Rosen, and C. L. Werner, “Preventing and masking out unreliable results for critical quantitative applications of phase unwrapping,” International Geoscience and Remote Sensing Symposium (IGARSS) 7, 3199-3201 (2000).
16. J. T. Flynn, “Phase unwrapping using discontinuity optimization,” IGARSS 1, 80-82 (1998).
17. C. W. Chen and H. A. Zebker, “Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimization,” J. Opt. Soc. Am. A 18, 338-351 (2001).
18. M. D. Pritt and J. S. Shiman, “Least-squares two-dimensional phase unwrapping using FFT’s,” IEEE Trans. Geosci. Remote Sens. 32, 706-708 (1994).
19. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transform and iterative methods,” J. Opt. Soc. Am. A 11, 107-117 (1994).
20. H. A. Zebker and Y. P. Lu, “Phase unwrapping algorithm for radar interferometry: residue-cut, least-squares, and synthesis algorithm,” J. Opt. Soc. Am. A 15, 586-598 (1998).
21. O. Marklund, “Noise-insensitive two-dimensional phase unwrapping method,” J. Opt. Soc. Am. A 15, 42-60 (1998).
22. G. Fornaro, G. Franceschetti, and R. Lanari, “Interferometric SAR phase unwrapping using Green’s formulation,” IEEE Trans. Geosci. Remote Sens. 34, 720 -727 (1996).
23. G. Fornaro, G. Franceschetti, R. Lanari, and E. Sansosti, “Robust phase-unwrapping techniques: a comparison,” J. Opt. Soc. Am. A 13, 2355-2366 (1996).