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Geometry of the Phase Retrieval Problem: Graveyard of Algorithms

Geometry of the Phase Retrieval Problem: Graveyard of Algorithms

Geometry of the Phase Retrieval Problem: Graveyard of Algorithms
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Geometry of the Phase Retrieval Problem: Graveyard of Algorithms Hardback - 2022

by Alexander H. Barnett

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Hardback. New. 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.
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Details

  • Title Geometry of the Phase Retrieval Problem: Graveyard of Algorithms
  • Author Alexander H. Barnett
  • Binding Hardback
  • Condition New
  • Pages 320
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2022-05-05
  • Features Bibliography, Index
  • Bookseller's Inventory # B9781316518878
  • ISBN 9781316518878 / 1316518876
  • Weight 1.31 lbs (0.59 kg)
  • Dimensions 9 x 6 x 0.75 in (22.86 x 15.24 x 1.91 cm)
  • Category Mathematics
  • Library of Congress subjects Geometry, Algorithms
  • Library of Congress Catalogue Number 2021044734
  • Dewey Decimal Code 530.156
  • Quantity available 10

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Reader reviews for Geometry of the Phase Retrieval Problem: Graveyard of Algorithms

From the publisher

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.
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