Relaxed averaged alternating reflections for diffraction imaging
TL;DR: A relaxation of averaged alternating reflectors and determine the fixed-point set of the related operator in the convex case is proposed and the effectiveness of the algorithm compared to the current state of the art is demonstrated.
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Abstract: We report on progress in algorithms for iterative phase retrieval. The theory of convex optimization is used to develop and to gain insight into counterparts for the nonconvex problem of phase retrieval. We propose a relaxation of averaged alternating reflectors and determine the fixed point set of the related operator in the convex case. A numerical study supports our theoretical observations and demonstrates the effectiveness of the algorithm compared to the current state of the art.
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Phase Retrieval with Application to Optical Imaging: A contemporary overview
TL;DR: The goal is to describe the current state of the art in this area, identify challenges, and suggest future directions and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large.
Single mimivirus particles intercepted and imaged with an X-ray laser
M. Marvin Seibert,Tomas Ekeberg,Filipe R. N. C. Maia,Martin Svenda,Jakob Andreasson,Olof Jönsson,Dusko Odic,Bianca Iwan,Andrea Rocker,Daniel Westphal,Max F. Hantke,Daniel P. DePonte,Anton Barty,Joachim Schulz,Lars Gumprecht,Nicola Coppola,Andrew Aquila,Mengning Liang,Thomas A. White,Andrew V. Martin,Carl Caleman,Stephan Stern,Chantal Abergel,Virginie Seltzer,Jean-Michel Claverie,Christoph Bostedt,John D. Bozek,Sébastien Boutet,A. Miahnahri,Marc Messerschmidt,Jacek Krzywinski,Garth J. Williams,Keith O. Hodgson,Michael J. Bogan,Christina Y. Hampton,Raymond G. Sierra,D. Starodub,Inger Andersson,Sǎa Bajt,Miriam Barthelmess,John C. H. Spence,Petra Fromme,Uwe Weierstall,Richard A. Kirian,Mark S. Hunter,R. Bruce Doak,Stefano Marchesini,Stefan P. Hau-Riege,Matthias Frank,Robert L. Shoeman,Lukas Lomb,Sascha W. Epp,Robert Hartmann,Daniel Rolles,Artem Rudenko,Carlo Schmidt,Lutz Foucar,Nils Kimmel,Peter Holl,Benedikt Rudek,Benjamin Erk,André Hömke,Christian Reich,Daniel Pietschner,Georg Weidenspointner,Lothar Strüder,Günter Hauser,H. Gorke,Joachim Ullrich,Ilme Schlichting,Sven Herrmann,Gerhard Schaller,Florian Schopper,Heike Soltau,Kai Uwe Kuhnel,Robert Andritschke,Claus Dieter Schröter,Faton Krasniqi,Mario Bott,Sebastian Schorb,Daniela Rupp,M. Adolph,Tais Gorkhover,Helmut Hirsemann,Guillaume Potdevin,Heinz Graafsma,Björn Nilsson,Henry N. Chapman,Janos Hajdu +88 more
TL;DR: This work shows that high-quality diffraction data can be obtained with a single X-ray pulse from a non-crystalline biological sample, a single mimivirus particle, which was injected into the pulsed beam of a hard-X-ray free-electron laser, the Linac Coherent Light Source.
Phase recovery and holographic image reconstruction using deep learning in neural networks
TL;DR: It is demonstrated that a neural network can learn to perform phase recovery and holographic image reconstruction after appropriate training, and this deep learning-based approach provides an entirely new framework to conduct holographic imaging by rapidly eliminating twin-image and self-interference-related spatial artifacts.
High-resolution ab initio three-dimensional x-ray diffraction microscopy
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TL;DR: In this article, the authors demonstrate x-ray diffraction imaging with high resolution in all three dimensions, as determined by a quantitative analysis of the reconstructed volume images, using no a priori knowledge about the shape or composition of the object, which has never before been demonstrated on a nonperiodic object.
Short-wavelength free-electron laser sources and science: a review
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TL;DR: This review is focused on free-electron lasers (FELs) in the hard to soft x-ray regime and provides newcomers to the area with insights into: the basic physics of FELs, the qualities of the radiation they produce, the challenges of transmitting that radiation to end users and the diversity of current scientific applications.
References
Phase retrieval algorithms: a comparison.
TL;DR: Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods and it is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm forThe problem of two intensity measurements converge.
6K
•Journal Article
A practical algorithm for the determination of phase from image and diffraction plane pictures
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
5.8K
Phase Retrieval with Application to Optical Imaging: A contemporary overview
TL;DR: The goal is to describe the current state of the art in this area, identify challenges, and suggest future directions and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large.
Single mimivirus particles intercepted and imaged with an X-ray laser
M. Marvin Seibert,Tomas Ekeberg,Filipe R. N. C. Maia,Martin Svenda,Jakob Andreasson,Olof Jönsson,Dusko Odic,Bianca Iwan,Andrea Rocker,Daniel Westphal,Max F. Hantke,Daniel P. DePonte,Anton Barty,Joachim Schulz,Lars Gumprecht,Nicola Coppola,Andrew Aquila,Mengning Liang,Thomas A. White,Andrew V. Martin,Carl Caleman,Stephan Stern,Chantal Abergel,Virginie Seltzer,Jean-Michel Claverie,Christoph Bostedt,John D. Bozek,Sébastien Boutet,A. Miahnahri,Marc Messerschmidt,Jacek Krzywinski,Garth J. Williams,Keith O. Hodgson,Michael J. Bogan,Christina Y. Hampton,Raymond G. Sierra,D. Starodub,Inger Andersson,Sǎa Bajt,Miriam Barthelmess,John C. H. Spence,Petra Fromme,Uwe Weierstall,Richard A. Kirian,Mark S. Hunter,R. Bruce Doak,Stefano Marchesini,Stefan P. Hau-Riege,Matthias Frank,Robert L. Shoeman,Lukas Lomb,Sascha W. Epp,Robert Hartmann,Daniel Rolles,Artem Rudenko,Carlo Schmidt,Lutz Foucar,Nils Kimmel,Peter Holl,Benedikt Rudek,Benjamin Erk,André Hömke,Christian Reich,Daniel Pietschner,Georg Weidenspointner,Lothar Strüder,Günter Hauser,H. Gorke,Joachim Ullrich,Ilme Schlichting,Sven Herrmann,Gerhard Schaller,Florian Schopper,Heike Soltau,Kai Uwe Kuhnel,Robert Andritschke,Claus Dieter Schröter,Faton Krasniqi,Mario Bott,Sebastian Schorb,Daniela Rupp,M. Adolph,Tais Gorkhover,Helmut Hirsemann,Guillaume Potdevin,Heinz Graafsma,Björn Nilsson,Henry N. Chapman,Janos Hajdu +88 more
TL;DR: This work shows that high-quality diffraction data can be obtained with a single X-ray pulse from a non-crystalline biological sample, a single mimivirus particle, which was injected into the pulsed beam of a hard-X-ray free-electron laser, the Linac Coherent Light Source.
Phase retrieval in crystallography and optics
TL;DR: In this paper, the principles of phase retrieval in crystallography are outlined and compared and contrasted with phase retrieval for general imaging, and the emphasis is on phase-retrieval algorithms and areas in which results in one discipline have, and may, contribute to the other.
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