ISBN: 9781316518878 - Geometry of the Phase Retrieval Problem: Graveyard of Algorithms (cambridge Monographs on Applied and Computational Mathematics): 39 (cambridge ... Computational Mathematics, Series Number 39) (11 results)

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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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Hardcover. Condition: new. 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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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 intr. …