Relaxed Averaged Alternating Reflections for Diffraction Imaging
TL;DR: In this paper, a relaxation of averaged alternating reflectors is proposed to determine the fixed point set of the related operator in the convex case, and a numerical study supports the theoretical observations and demonstrates the effectiveness of the algorithm compared to the current state of the art.
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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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Citations
Deep-inverse correlography: towards real-time high-resolution non-line-of-sight imaging
Christopher A. Metzler,Felix Heide,Prasana Rangarajan,Muralidhar Madabhushi Balaji,Aparna Viswanath,Ashok Veeraraghavan,Richard G. Baraniuk +6 more
- 20 Jan 2020
TL;DR: This work uses spectral estimation theory to derive a noise model for NLoS correlography, and develops a speckle correlation-based technique for recovering occluded objects from indirect reflections, and trains a deep convolutional neural network to solve the noisy phase retrieval problem associated with correlography.
145
A phase-retrieval toolbox for X-ray holography and tomography.
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TL;DR: The package is called HoloTomoToolbox and comprises a set of algorithms for phase retrieval in the direct-contrast regime, as well as in the holographic regime, which is used for high-resolution cone-beam synchrotron recordings.
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TL;DR: The ID01 beamline has been built to combine Bragg diffraction with imaging techniques to produce a strain and mosaicity microscope for materials in their native or operando state.
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TL;DR: The PyNX toolkit has been extended to provide tools for coherent X-ray imaging data analysis and simulation, which can be used for coherent diffraction imaging (CDI), ptychography and wavefront propagation, in the far or near field regime.
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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.
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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.
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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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Phase retrieval by iterated projections
TL;DR: In this article, an iterative "difference map" is constructed from a pair of elementary projections and three real parameters for phase retrieval, where the two projections implement Fourier modulus and object support constraints, respectively.
Observation of microstructure and damage in materials by phase sensitive radiography and tomography
Peter Cloetens,Murielle Pateyron-Salome,Jean-Yves Buffiere,Gilles Peix,José Baruchel,Françoise Peyrin,Michel Schlenker +6 more
TL;DR: In this paper, phase jumps related to the interface between the matrix and the reinforcing phases of the composites are detected even when these phases show very similar x-ray attenuation, illustrating the potential of the technique for assessing damage in materials with improved resolution and sensitivity.
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