Geometry of the Phase Retrieval Problem (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2022

1316518876 / 9781316518878

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Hardcover. 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. Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications. This book introduces a conceptual, geometric framework for the analysis of these problems, and, using this framework, both analyzes well-known algorithms and introduces new approaches for phase retrieval. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Geometry of the Phase Retrieval Problem (Hardcover)
Author
Alexander H. Barnett
Publisher
Cambridge University Press, Cambridge
Publication year
2022
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1316518876
ISBN 13
9781316518878

CitiRetail

Stevenage, United Kingdom

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AbeBooks seller since June 29, 2022

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