國立虎尾科技大學 |

Geometry of the phase retrieval problem = graveyard of algorithms /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometry of the phase retrieval problem/ Alexander H. Barnett ... [et al.].
Reminder of title:	graveyard of algorithms /
other author:	Barnett, Alexander H.
Published:	Cambridge :Cambridge University Press, : 2022.,
Description:	xii, 307 p. :ill., digital ; : 23 cm.;
Notes:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
Subject:	Geometry. -
Online resource:	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 ;16..

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:

579899
Geometry.

LC Class. No.: QC20.7.G44

Dewey Class. No.: 530.156

Geometry of the phase retrieval problem = graveyard of algorithms /
LDR:01963nam a2200253 a 4500 001 1096555
003 UkCbUP
005 20220503073500.0
006 m d
007 cr nn 008maaau
008 221229s2022 enk o 1 0 eng d
020 $a 9781009003919 $q (electronic bk.)
020 $a 9781316518878 $q (hardback)
035 $a CR9781009003919
040 $a UkCbUP $b eng $c UkCbUP $d GP
050 0 0 $a QC20.7.G44
082 0 0 $a 530.156 $2 23
090 $a QC20.7.G44 $b G345 2022
245 0 0 $a Geometry of the phase retrieval problem $h [electronic resource] : $b graveyard of algorithms / $c Alexander H. Barnett ... [et al.].
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a xii, 307 p. : $b ill., digital ; $c 23 cm.
490 1 $a Cambridge monographs on applied and computational mathematics ; $v 37
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.
650 0 $a Geometry. $3 579899
650 0 $a Algorithms. $3 527865
700 1 $a Barnett, Alexander H. $3 1405777
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 16. $3 746415
856 4 0 $u https://doi.org/10.1017/9781009003919