The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Phase-retrieval stagnation problems and solutions
Abstract
The iterative Fourier-transform algorithm has been demonstrated to be a practical method for reconstructing an object from the modulus of its Fourier transform (i.e., solving the problem of recovering phase from a single intensity measurement). In some circumstances the algorithm may stagnate. New methods are described that allow the algorithm to overcome three different modes of stagnation: those characterized by (1) twin images, (2) stripes, and (3) truncation of the image by the support constraint. Curious properties of Fourier transforms of images are also described: the zero reversal for the striped images and the relationship between the zero lines of the real and imaginary parts of the Fourier transform. A detailed description of the reconstruction method is given to aid those employing the iterative transform algorithm.
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Citations
Cites
The Fourier Transform and Its Applications
Bracewell, R., & Kahn, P. B. (1966) · American Journal of Physics · doi:10.1119/1.1973431 · Cited by 5,737
Phase retrieval algorithms: a comparison
Fienup, J. R. (1982) · Applied Optics · doi:10.1364/ao.21.002758 · Cited by 5,596
Self-citationA practical algorithm for the determination of phase from image and diffraction plane pictures
Gerchberg, R. W. (1972) · Optik · Cited by 4,519
Reconstruction of an object from the modulus of its Fourier transform
Fienup, J. R. (1978) · Optics Letters · doi:10.1364/ol.3.000027 · Cited by 1,836
Self-citationSuper-resolution through Error Energy Reduction
Gerchberg, R. W. (1974) · Optica Acta: International Journal of Optics · doi:10.1080/713818946 · Cited by 987
Generalized Image Restoration by the Method of Alternating Orthogonal Projections
Youla, D. (1978) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1978.1084541 · Cited by 391
The fourier transform and its applications. 2nd.ed.
Bracewell, R. N., Rustiami, H., Chikmawati, T., & Syam, N. (1965) · Cited by 309
Cited by
Fundamentals 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
Gӧrӧcs, Z., Tamamitsu, M., Bianco, V., Wolf, P., Roy, S., Shindo, K., Yanny, K., Wu, Y., Koydemir, H. C., Rivenson, Y., et al. (2018) · Light: Science & Applications · doi:10.1038/s41377-018-0067-0 · Cited by 188
Metadata
- Authors
- Fienup, J. R., & Wackerman, C. C.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1986-11-01
- Volume
- 3
- Issue
- 11
- Pages
- 1897
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2107535961
- Cited by
- 538
- References
- 7
- FWCI
- 10.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Phase-retrieval stagnation problems and solutions. https://app.cochat.ai/papers/10.1364/josaa.3.001897
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- Fienup, J. R., & Wackerman, C. C. (1986). Phase-retrieval stagnation problems and solutions. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.3.001897
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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