Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics)

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Synopsis
Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a multitude of scientists, from astronomers to mathematicians, there is, as yet, no satisfactory theoretical or algorithmic solution to this class of problems. Written for mathematicians, physicists and engineers working in image analysis and reconstruction, this book introduces a conceptual, geometric framework for the analysis of these problems, leading to a deeper understanding of the essential, algorithmically independent, difficulty of their solutions. Using this framework, the book studies standard algorithms and a range of theoretical issues in phase retrieval and provides several new algorithms and approaches to this problem with the potential to improve the reconstructed images. The book is lavishly illustrated with the results of numerous numerical experiments that motivate the theoretical development and place it in the context of practical applications.
Copyright:
2022

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9781009007788
Related ISBNs:
9781316518878
Publisher:
Cambridge University Press
Date of Addition:
Copyrighted By:
Alexander H. Barnett, Charles L. Epstein, Leslie Greengard, and Jeremy Magland
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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