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Phase retrieval algorithms: a comparison
Abstract
Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods. Both the problem of phase retrieval from two intensity measurements (in electron microscopy or wave front sensing) and the problem of phase retrieval from a single intensity measurement plus a non-negativity constraint (in astronomy) are considered, with emphasis on the latter. It is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm for the problem of two intensity measurements converge. The error-reduction algorithm is also shown to be closely related to the steepest-descent method. Other algorithms, including the input-output algorithm and the conjugate-gradient method, are shown to converge in practice much faster than the error-reduction algorithm. Examples are shown.
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Cited by
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Levin, A., Weiss, Y., Durand, F., & Freeman, W. T. (2009) · 2009 IEEE Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2009.5206815 · Cited by 1,208
Hard-X-Ray Lensless Imaging of Extended Objects
Rodenburg, J. M., Hurst, A. C., Cullis, A. G., Dobson, B. R., Pfeiffer, F., Bunk, O., David, C., Jefimovs, K., & Johnson, I. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.034801 · Cited by 855
Phase-retrieval stagnation problems and solutions
Fienup, J. R., & Wackerman, C. C. (1986) · Journal of the Optical Society of America A · doi:10.1364/josaa.3.001897 · Cited by 538
Self-citationFundamentals of phase-only liquid crystal on silicon (LCOS) devices
Zhang, Z., You, Z., & Chu, D. (2014) · Light: Science & Applications · doi:10.1038/lsa.2014.94 · Cited by 519
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Chi, Y., Lu, Y. M., & Chen, Y. (2019) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2019.2937282 · Cited by 360
Metadata
- Authors
- Fienup, J. R.
- Venue
- Applied Optics
- Publisher
- Optica Publishing Group
- Published
- 1982-08-01
- Volume
- 21
- Issue
- 15
- Pages
- 2758
- ISSN
- 0003-6935 (ISSN-L)
- 1539-4522
- OpenAlex
- W2007593159
- Cited by
- 5,596
- References
- 0
- FWCI
- 11.11
- Type
- journal article
- Language
- en
- Open access
- closed
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