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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 586–598

Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms

Howard A. Zebker and Yanping Lu  »View Author Affiliations


JOSA A, Vol. 15, Issue 3, pp. 586-598 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000586


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Abstract

The advent of interferometric synthetic aperature radar for geophysical studies has resulted in the need for accurate, efficient methods of two-dimensional phase unwrapping. Inference of the lost integral number of cycles in phase measurements is critical for three-pass surface deformation studies as well as topographic mapping and can result in an order of magnitude increase in sensitivity for two-pass deformation analysis. While phase unwrapping algorithms have proliferated over the past ten years, two main approaches are currently in use. Each is most useful only for certain restricted applications. All these algorithms begin with the measured gradient of the phase field, which is subsequently integrated to recover the unwrapped phases. The earliest approaches in interferometric applications incorporated residue identification and cuts to limit the possible integration paths, while a second class using least-squares techniques was developed in the early 1990’s. We compare the approaches and find that the residue-cut algorithms are quite accurate but do not produce estimates in regions of moderate phase noise. The least-squares methods yield complete coverage but at the cost of distortion in the recovered phase field. A new synthesis approach, combining the cuts from the first class with a least-squares solution, offers greater spatial coverage with less distortion in many instances.

© 1998 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.6730) Remote sensing and sensors : Synthetic aperture radar

Citation
Howard A. Zebker and Yanping Lu, "Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms," J. Opt. Soc. Am. A 15, 586-598 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-3-586


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References

  1. R. M. Goldstein, H. A. Zebker, and C. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
  2. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107–117 (1994).
  3. M. D. Pritt and J. S. Shipman, “Least-squares two-dimensional phase unwrapping using FFT’s,” IEEE Trans. Geosci. Remote Sens. 32, 706–708 (1994).
  4. G. Fornaro, G. Franceschetti, and R. Lanari, “Interferometric SAR phase unwrapping using Green’s formulation,” IEEE Trans. Geosci. Remote Sens. 34, 720–727 (1996).
  5. H. Zebker and R. Goldstein, “Topographic mapping from interferometric SAR observations,” J. Geophys. Res. 91, 4993–4999 (1986).
  6. H. A. Zebker, T. G. Farr, R. P. Salazar, and T. H. Dixon, “Mapping the world’s topography using radar interferometry: the TOPSAT mission,” Proc. IEEE 82, 1774–1786 (1994).
  7. A. K. Gabriel, R. M. Goldstein, and H. A. Zebker, “Mapping small elevation changes over large areas: differential radar interferometry,” J. Geophys. Res. 94, 9183–9191 (1989).
  8. D. Massonnet, M. Rossi, C. Carmona, F. Adragna, G. Peltzer, K. Feigl, and T. Rabaute, “The displacement field of the Landers earthquake mapped by radar interferometry,” Nature (London) 364, 138–142 (1993).
  9. H. A. Zebker, P. A. Rosen, R. M. Goldstein, A. Gabriel, and C. Werner, “On the derivation of coseismic displacement fields using differential radar interferometry: the Landers earthquake,” J. Geophys. Res. 99, 19617–19634 (1994).
  10. R. M. Goldstein and H. A. Zebker, “Interferometric radar measurement of ocean surface currents,” Nature (London) 328, 707–709 (1987).
  11. R. M. Goldstein, H. Engelhardt, B. Kamb, and R. M. Frolich, “Satellite radar interferometry for monitoring ice sheet motion: application to an Antarctic ice stream,” Science 262, 1525–1530 (1993).
  12. S. N. Madsen, J. Martin, and H. A. Zebker, “Analysis and evaluation of the NASA/JPL TOPSAR interferometric SAR system,” IEEE Trans. Geosci. Remote Sens. 33, 383–391 (1995).
  13. D. Massonnet, K. Feigl, M. Rossi, and F. Adragna, “Radar interferometric mapping of deformation in the year after the Landers earthquake,” Nature (London) 369, 227–230 (1994).
  14. D. Massonnet and K. L. Feigl, “Discrimination of geophysical phenomena in satellite radar interferograms,” Geophys. Res. Lett. 22, 1537–1540 (1995).
  15. H. A. Zebker, C. L. Werner, P. Rosen, and S. Hensley, “Accuracy of topographic maps derived from ERS-1 radar interferometry,” IEEE Trans. Geosci. Remote Sens. 32, 823–836 (1994).
  16. G. Fornaro, G. Franceschetti, R. Lanari, and E. Sansoti, “Robust phase unwrapping techniques: a comparison,” J. Opt. Soc. Am. A 13, 2355–2366 (1996).
  17. M. D. Pritt, “Phase unwrapping by means of multigrid techniques for interferometric SAR,” IEEE Trans. Geosci. Remote Sens. 34, 728–738 (1996).
  18. D. J. Bone, “Fourier fringe analysis: the two-dimensional phase unwrapping problem,” Appl. Opt. 30, 3627–32 (1991).
  19. 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 (1997).
  20. E. Rodriguez and J. Martin, “Theory and design of interferometric SARs,” Proc. IEEE 139, 147–159 (1992).
  21. H. A. Zebker and J. Villasenor, “Decorrelation in interferometric radar echoes,” IEEE Trans. Geosci. Remote Sens. 30, 950–959 (1992).
  22. F. Li and R. M. Goldstein, “Studies of multi-baseline spaceborne interferometric synthetic aperture radars,” IEEE Trans. Geosci. Remote Sens. 28, 88–97 (1990).
  23. B. R. Hunt, “Matrix formulation of the reconstruction of phase values from phase differences,” J. Opt. Soc. Am. 69, 393–399 (1979).

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