Relaxed averaged alternating reflections for diffraction imaging
By D. R. Luke. 2004
435 citations recorded by the source corpus.
We report on progress in algorithms for iterative phase retrieval. The theory of convex optimization is used to develop and to gain insight into counterparts for the nonconvex problem of phase retrieval. We propose a relaxation of averaged alternating reflectors and determine the fixed-point set of the related operator in the convex case. A numerical study supports our theoretical observations and demonstrates the effectiveness of the algorithm compared to the current state of the art.
Subfields: Biomedical Engineering, Computer Vision and Pattern Recognition, Radiation
View Paper: https://www.semanticscholar.org/paper/db0f607e2321c4a26748c1954a4d384d16d95384
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In Biomedical Engineering
- Richard L. Sandberg
- Yonina C. Eldar
- Henry N. Chapman
- Oren Cohen
- Jianwei Miao
- Mordechai Segev
- Jianwei Miao
- Yoav Shechtman
In Computer Vision and Pattern Recognition
- Yoav Shechtman
- Yonina C. Eldar
- Henry N. Chapman
- Oren Cohen
- Mordechai Segev
- Jianwei Miao
- Richard L. Sandberg
- Jianwei Miao
In Radiation
- Yonina C. Eldar
- Yoav Shechtman
- Richard L. Sandberg
- Changyong Song
- Henry N. Chapman
- Oren Cohen
- Mordechai Segev
- Jianwei Miao
Citations in the corpus
- Phase Retrieval with Application to Optical Imaging: A contemporary overview (2015, methodology): “In these experiments, the phase retrieval of the patterns was carried out using the RAAR [11] algorithm and shrinkwrap procedure [124], which determines and iteratively updates the support constraint used.”
- Coherent methods in the X-ray sciences (2009, methodology): “e manner in which the object estimate is updated. These include the difference map [325], saddle-point optimisation [326], hybrid reflection projection [327], relaxed averaged alternating reflections [328] and charge-flipping [329]. A unified analysis of the methods has been published by Marchesini ”
- Coherent X-Ray Diffraction Imaging (2012, methodology): “To retrieve the phases from the oversampled diffraction patterns, Fourier-based iterative algorithms have been widely used [10]–[16].”