Mean-field annealing for phase unwrapping

Applied Optics

Volumn 38, Issue 8, 1999, Pages 1377-1383

  Stramaglia, Sebastiano ^a   Guerriero, Luciano ^b   Pasquariello, Guido ^a   Veneziani, Nicola ^a  

^a CNR   (Italy)

^b INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038801433     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.38.001377     Document Type: Article

References (21)

1. D. L. Fried, “Least-squares fitting of wave-front distortion estimate to an array of phase-difference measurement,” J. Opt. Soc. Am. A 67, 370-375 (1977).
2. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375-378 (1977).
3. R. J. Noll, “Phase estimates from slope-type wave-front sensors,” J. Opt. Soc. Am. A 68, 139-140 (1980).
4. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast trasforms and iterative methods,” J. Opt. Soc. Am. A 11, 107-117 (1994).
5. R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713-720 (1988).
6. J. M. Huntley, “Noise immune phase unwrapping algorithm,” Appl. Opt. 28, 3268-3270 (1989).
7. J. A. Quiroga, A. Gonzâles-Cano, and E. Bernabeu, “Stable-marriages algorithm for preprocessing phase maps with discontinuity sources,” Appl. Opt. 34, 5029-5038 (1995).
8. D. C. Ghiglia, G. A. Mastin, and L. A. Romero, “Cellular-automata method for phase unwrapping,” J. Opt. Soc. Am. A 4, 267-280 (1987).
9. A. Collaro, G. Franceschetti, F. Palmieri, and M. S. Ferreiro, “Phase unwrapping by means of genetic algorithms,” J. Opt. Soc. Am. A 15, 407-418 (1998).
10. J. L. Marroquin and M. Rivera, “Quadratic regularization functionals for phase unwrapping,” J. Opt. Soc. Am. A 12, 2393-2400 (1995).
11. J. L. Marroquin, M. Tapia, R. Rodriguez-Vera, and M. Servin, “Parallel algorithms for phase unwrapping based on Markov random field models,” J. Opt. Soc. Am. A12, 2578-2585 (1995).
12. L. Guerriero, G. Nico, G. Pasquariello, and S. Stramaglia, “New regularization scheme for phase unwrapping,” Appl. Opt. 37, 3053-3058 (1998).
13. G. Parisi, Statistical Field Theory (Addison-Wesley, Reading, Mass., 1988).
14. J. Zhang, “Mean field theory in EM procedures for MRF's,” IEEE Trans. Signal Process. 40, 2570-2583 (1992).
15. S. Geman and D. Geman, “Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images,” IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).
16. A. L. Yuille and J. J. Kosowsky, “Statistical physics algorithms that converge,” Neural Comput. 6, 341-356 (1994).
17. D. J. Bone, “Fourier fringe analysis: the two-dimensional phase unwrapping problem,” Appl. Opt. 30, 3627-3632 (1991).
18. In the limit of high temperature, all the m’s vanish except for those whose location is close to residua. Hence the best starting point for iterations is (m = 0) and (A. = 0).
19. We iterated Eqs. (19) asynchronously.
20. 1-4 originally designed to find the scalar field whose discrete gradient is closer to A.
21. E. Wasserstrom, “Numerical solutions by the continuation method,” SIAM (Soc. Ind. Appl. Math.) Rev. 15, 89-119 (1973).