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Geometry of the phase retrieval prob...

Barnett, Alexander H.

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Geometry of the phase retrieval problem = graveyard of algorithms /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry of the phase retrieval problem/ Alexander H. Barnett ... [et al.].
其他題名:	graveyard of algorithms /
其他作者:	Barnett, Alexander H.
出版者:	Cambridge :Cambridge University Press, : 2022.,
面頁冊數:	xii, 307 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	Geometry. -
電子資源:	https://doi.org/10.1017/9781009003919
ISBN:	9781009003919

Geometry of the phase retrieval problem = graveyard of algorithms /
Geometry of the phase retrieval problemgraveyard of algorithms /[electronic resource] :Alexander H. Barnett ... [et al.]. - Cambridge :Cambridge University Press,2022. - xii, 307 p. :ill., digital ;23 cm. - Cambridge monographs on applied and computational mathematics ;37. - Cambridge monographs on applied and computational mathematics ;37..

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

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.

ISBN: 9781009003919Subjects--Topical Terms:

517251
Geometry.

LC Class. No.: QC20.7.G44

Dewey Class. No.: 530.156

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500 $a Title from publisher's bibliographic system (viewed on 07 Apr 2022).
520 $a 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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