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Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics, Series Number 39)

Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics, Series Number 39)

Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge
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Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics, Series Number 39) Hardback - 2015

by Alexander H. Barnett; Charles L. Epstein; Leslie Greengard

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New edition NO-PA16APR2015-KAP. Hardback. New.
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  • Title Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics, Series Number 39)
  • Author Alexander H. Barnett; Charles L. Epstein; Leslie Greengard
  • Binding Hardback
  • Condition New
  • Pages 320
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date New edition NO-PA16APR2015-
  • Features Bibliography, Index
  • Bookseller's Inventory # 6390157660
  • 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 4

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Reader reviews for Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (Cambridge Monographs on Applied and Computational Mathematics, Series Number 39)

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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