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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. 13, Iss. 12 — Dec. 1, 1996
  • pp: 2355–2366

Robust phase-unwrapping techniques: a comparison

Gianfranco Fornaro, Giorgio Franceschetti, Riccardo Lanari, and Eugenio Sansosti  »View Author Affiliations


JOSA A, Vol. 13, Issue 12, pp. 2355-2366 (1996)
http://dx.doi.org/10.1364/JOSAA.13.002355


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Abstract

In this paper we demonstrate the theoretical equivalence of two robust techniques for two-dimensional phase unwrapping. The first is based on the least-squares (LS) approach, and the second is based on Green’s formulation. To be theoretically comparable with Green’s method, the LS phase unwrapping is formulated in the continuous domain, leading to the minimization of a specific functional. Subsequently, we investigate the computational requirements of the procedures implementing the two methods. To do this, we have modified the first Green’s identity-based algorithm to account for periodic phase patterns. This reformulation allows us to compare the existing efficient LS procedures and leads to a procedure whose memory and computational requirements are less stringent than those presented in Fornaro et al. [ IEEE Trans. Geosci. Remote Sens. 34, 720 ( 1996)].

© 1996 Optical Society of America

History
Original Manuscript: March 25, 1996
Revised Manuscript: July 2, 1996
Manuscript Accepted: August 2, 1996
Published: December 1, 1996

Citation
Gianfranco Fornaro, Giorgio Franceschetti, Riccardo Lanari, and Eugenio Sansosti, "Robust phase-unwrapping techniques: a comparison," J. Opt. Soc. Am. A 13, 2355-2366 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-12-2355


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References

  1. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 370–375 (1977). [CrossRef]
  2. H. A. Zebker, R. M. Goldstein, “Topographic mapping from interferometric synthetic aperture radar observations,” J. Geophys. Res. 91, 4993–4999 (1986). [CrossRef]
  3. J. M. Martin, “Theory and design of interferometric synthetic aperture radars,” IEE Proc. F 139, 147–159 (1992).
  4. R. M. Goldenstein, H. A. Zebker, C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988). [CrossRef]
  5. Q. Lin, F. Vesecky, H. A. Zebker, “Comparison of elevation derived from INSAR data with DEM over large relief terrain,” Int. J. Remote Sens. 15, 1775–1790 (1994). [CrossRef]
  6. H. Takajo, T. Takahashi, “Noniterative methods for obtaining the exact solution for the normal equation in least-squares phase estimation from phase difference,” J. Opt. Soc. Am. A 5, 1818–1827 (1988). [CrossRef]
  7. D. C. Ghiglia, L. A. Romero, “Direct phase estimation from phase difference using fast elliptic partial differential equation solvers,” Opt. Lett. 14, 1107–1109 (1989). [CrossRef] [PubMed]
  8. D. C. Ghiglia, 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). [CrossRef]
  9. M. D. Pritt, J. S. Shipman, “Least-squares two dimensional phase unwrapping using FFT’s,” IEEE Trans. Geosci. Remote Sens. 32, 706–708 (1994). [CrossRef]
  10. G. Fornaro, G. Franceschetti, R. Lanari, “Interferomet-ric SAR phase unwrapping using Green’s formulation,” IEEE Trans. Geosci. Remote Sens. 34, 720–727 (1996). [CrossRef]
  11. E. Sansosti, “Tecniche di phase unwrapping in interferometria SAR,” laurea thesis (University of Naples Federico II, 1995).
  12. H. Margenau, G. M. Murphy, The Mathematics of Physics and Chemistry (Van Nostrand, New York, 1956), Chap. 6.
  13. A. V. Oppenheim, R. W. Schafer, Discrete-Time Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1989), pp. 548–560 and 587–592.
  14. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in C (Cambridge U. Press, Cambridge, 1988), pp. 398–424 and 676–680.
  15. D. S. Jones, Methods in Electromagnetic Wave Propagation (Clarendon, Oxford, 1979), Vol. 1, pp. 481–489.
  16. J. F. Botha, G. F. Pinder, Fundamental Concepts in the Numerical Solution of Differential Equations (Wiley, New York, 1983), pp. 22–42.

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