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Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods
Abstract
Two-dimensional (2D) phase unwrapping continues to find applications in a wide variety of scientific and engineering areas including optical and microwave interferometry, adaptive optics, compensated imaging, and synthetic-aperture-radar phase correction, and image processing. We have developed a robust method (not based on any path-following scheme) for unwrapping 2D phase principal values (in a least-squares sense) by using fast cosine transforms. If the 2D phase values are associated with a 2D weighting, the fast transforms can still be used in iterative methods for solving the weighted unwrapping problem. Weighted unwrapping can be used to isolate inconsistent regions (i.e., phase shear) in an elegant fashion.
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Cited by
Synthetic aperture radar interferometry
Rosen, P. A., Hensley, S., Joughin, I. R., Li, F. K., Madsen, S. N., Rodriguez, E., & Goldstein, R. M. (2000) · Proceedings of the IEEE · doi:10.1109/5.838084 · Cited by 2,670
Radar interferometry and its application to changes in the Earth's surface
Massonnet, D., & Feigl, K. L. (1998) · Reviews of Geophysics · doi:10.1029/97rg03139 · Cited by 2,624
Phase Unwrapping via Graph Cuts
Bioucas-Dias, J. M., & Valadao, G. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2006.888351 · Cited by 572
Quantitative susceptibility mapping: current status and future directions
Haacke, E. M., Liu, S., Buch, S., Zheng, W., Wu, D., & Ye, Y. (2015) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2014.09.004 · Cited by 511
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Metadata
- Authors
- Ghiglia, D. C., & Romero, L. A.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1994-01-01
- Volume
- 11
- Issue
- 1
- Pages
- 107
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2139917231
- Cited by
- 1,058
- References
- 0
- FWCI
- 24.76
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ghiglia, D. C., & Romero, L. A. (1994). Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.11.000107
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