Format:
1 online resource (xii, 307 Seiten)
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Illustrationen
ISBN:
9781009003919
Series Statement:
Cambridge monographs on applied and computational mathematics 37
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 07 Apr 2022)
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Im Band als 37 gezählt, korrekte Zählung aus Band 40 der monografischen Reihe übernommen
Additional Edition:
ISBN 9781316518878
Additional Edition:
Erscheint auch als Druck-Ausgabe Barnett, Alex H., 1972 - Geometry of the phase retrieval problem Cambridge : Cambridge University Press, 2022 ISBN 9781316518878
Language:
English
DOI:
10.1017/9781009003919
