Phase unwrapping for interferometric synthetic aperture radar by use of helmholtz equation eigenfunctions and the first green’s identity

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 2, 1999, Pages 378-395

  Lyuboshenko, Igor ^a   Maître, Henri ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000658994     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000378     Document Type: Article

References (27)

1. D. C. Ghiglia and L. A. Romero, “Direct phase estimation from phase differences using fast elliptic partial differential equation solvers,” Opt. Lett. 14, 1107–1109 (1989).
2. Z.-P. Liang, “A model-based method for phase unwrapping,” IEEE Trans. Med. Imaging 15, 893–897 (1996).
3. R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
4. S. N. Madsen, H. A. Zebker, and J. Martin, “Topographic mapping using radar interferometry: processing techniques,” IEEE Trans. Geosci. Remote Sens. 31, 246–256 (1993).
5. G. Fornaro, G. Franceschetti, and R. Lanari, “Interferometric phase unwrapping using Green’s formulation,” IEEE Trans. Geosci. Remote Sens. 34, 720–727 (1996).
6. G. Fornaro, G. Franceschetti, R. Lanari, and E. Sansosti, “Robust phase-unwrapping techniques: a comparison,” J. Opt. Soc. Am. A 13, 2355–2366 (1996).
7. H. Takajo and T. Takahashi, “Noniterative methods for obtaining the exact solution for the normal equation in leastsquares phase estimation from phase difference,” J. Opt. Soc. Am. A 5, 1818–1827 (1988).
8. 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).
9. E. Trouvé, J.-M. Nicolas, and H. Maître, “Improving phase unwrapping by the use of local frequency estimates,” IEEE Trans. Geosci. Remote Sens. 36, 1963–1972 (1998).
10. R. Bamler, N. Adam, and G. W. Davidson, “Noise-induced slope distortion in 2-D phase unwrapping by linear estimators with application to SAR interferometry,” IEEE Trans. Geosci. Remote Sens. 36, 913–921 (1998).
11. U. Spagnolini, “2-D phase unwrapping and phase aliasing,” Geophysics 58, 1324–1334 (1993).
12. M. D. Pritt and J. S. Shipman, “Least-squares twodimensional phase unwrapping using FFT’s,” IEEE Trans. Geosci. Remote Sens. 32, 706–708 (1994).
13. A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems (Winston, Washington, D.C. 1977).
14. U. Spagnolini, “2-D phase unwrapping and instantaneous frequency estimation,” IEEE Trans. Geosci. Remote Sens. 33, 579–589 (1995).
15. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
16. J. S. Lim, Two-Dimensional Signal and Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1990).
17. A. P. Prudnikov, Y. A. Brychkov, and I. O. Miachev, Integrals and Series (Gordon & Breach, New York, 1986).
18. S. Paquerault, H. Maître, and J.-M. Nicolas, “Radarclinometry for ERS-1 data mapping,” in Proceedings of the International Geoscience and Remote Sensing Symposium, Vol. I, T. I. Stein, ed. (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1996), pp. 503–505.
19. H. A. Zebker, C. L. Werner, P. A. Rosen, and S. Hensley, “Accuracy of topographic maps derived from ERS-1 interferometric radar,” IEEE Trans. Geosci. Remote Sens. 32, 823–836 (1994).
20. V. N. Strakhov and G. M. Valiashko, “Adaptive regularization algorithms for linear ill-posed problems,” Dokl. Acad. Nauk SSSR 259, 546–548 (1981) (in Russian).
21. T. L. Ainsworth and J. S. Lee, “A joint adaptive interferometric phase unwrapping and filtering algorithm,” in Proceedings of the International Geoscience and Remote Sensing Symposium, Vol. I, T. I. Stein, ed. (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1998), pp. 71–73.
22. T. J. Flynn, “Phase unwrapping algorithm using discontinuity optimization,” in Proceedings of the International Geoscience and Remote Sensing Symposium, Vol. I, T. I. Stein, ed. (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1998), pp. 80–82.
23. H. A. Zebker and Y. Lu, “Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms,” J. Opt. Soc. Am. A 15, 586–598 (1998).
24. J.-S. Lee, K. W. Hoppel, S. A. Mango, and A. R. Miller, “Intensity and phase statistics of multilook polarimetric and interferometric SAR imagery,” IEEE Trans. Geosci. Remote Sens. 32, 1017–1028 (1994).
25. M. S. Seymour and I. G. Cumming, “Maximum likelihood estimation for SAR interferometry,” in Proceedings of the International Geoscience and Remote Sensing Symposium, Vol. IV (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1994), pp. 2272–2295.
26. O. Loffeld and C. Arndt, “Estimating the derivative of modulo-mapped phases,” in Proceedings of International Conference on Acoustics, Speech and Signal Processing, Vol. IV (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1997), pp. 2841–2844.
27. V. I. Dmitriev, Mathematical Models in the Theory of Geophysical Fields, (Nedra, Moscow, 1990) (in Russian).