## Noise-insensitive two-dimensional phase unwrapping method

JOSA A, Vol. 15, Issue 1, pp. 42-60 (1998)

http://dx.doi.org/10.1364/JOSAA.15.000042

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### Abstract

A new two-dimensional phase unwrapping method, based on an iterative computational procedure, is proposed. The method, which is derived with the use of a global cost function to minimize the phase discontinuities in the unwrapped phase map, has shown to produce robust and reliable results on very noisy phase data. Preprocessing operations, such as noise cleaning or segmentation, will in many cases be superfluous but may be included.

© 1998 Optical Society of America

**OCIS Codes**

(110.4280) Imaging systems : Noise in imaging systems

(350.5030) Other areas of optics : Phase

**Citation**

Olov Marklund, "Noise-insensitive two-dimensional phase unwrapping method," J. Opt. Soc. Am. A **15**, 42-60 (1998)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-1-42

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### References

- J. M. Tribolet, “A new phase unwrapping algorithm,” IEEE Trans. Acoust. Speech Signal Process. ASSP-25, 170–177 (1977).
- R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
- J. M. Huntley, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28, 3268–3270 (1989).
- H. T. Takajo and T. Takahashi, “Least-squares phase estimation from phase differences,” J. Opt. Soc. Am. A 5, 416–425 (1988).
- D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping using fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107–117 (1994).
- M. Hedley and D. Rosenfeld, “A new two-dimensional phase unwrapping algorithm for MRI images,” Magn. Reson. Med. 24, 177–181 (1992).
- S. M. Song, S. Napel, N. J. Pelc, and G. H. Glower, “Phase unwrapping of MR phase images using Poisson equation,” IEEE Trans. Image Process. 4, 667–676 (1995).
- J. J. Gierloff, “Phase unwrapping by regions,” in Current Developments in Optical Engineering II, R. E. Fisher and W. J. Smith, eds., Proc. SPIE 818, 2–9 (1987).
- P. G. Charette and I. W. Hunter, “Robust phase unwrapping method for phase images with high noise content,” Appl. Opt. 35, 3506–3513 (1996).
- P. Stephenson, D. R. Burton, and M. J. Lalor, “Data validation techniques in a tiled phase unwrapping algorithm,” Opt. Eng. 33, 3703–3708 (1994).
- P. Ettl and K. Creath, “Comparison of phase-unwrapping algorithms by using gradient of first failure,” Appl. Opt. 35, 5108–5114 (1996).
- Z. Liang, “A model-based method for phase unwrapping,” IEEE Trans. Med. Imaging 15, 893–897 (1996).
- B. Friedlander and J. M. Francos, “Model based phase unwrapping of 2-D signals,” IEEE Trans. Signal Process. 44, 2999–3007 (1996).
- J. S. Lim, “The discrete cosine transform,” in Two-Dimensional Signal and Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1990), pp. 148–157.
- J. S. Lim, “The window method,” in Two-Dimensional Signal and Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1990), pp. 202–213.
- O. Loffeld, C. Arndt, and A. Hein, “Estimating the derivative of modulo-mapped phases,” presented at the European Space Agency Workshop on Applications of ERS SAR Interferometry, Zurich, September 30–October 2, 1996; also available at url: http://www.geo.unizh.ch/rsl/fringe96/papers/loffeld-et-al/.
- A. K. Jain, “Morphological processing,” in Fundamentals of Digital Image Processing (Prentice-Hall, Englewood Cliffs, N.J., 1989), pp. 384–387.

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