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Literature DB >> 20808399

Phase retrieval for superposed signals from multiple binary objects.

Andreas Alpers¹, Gabor T Herman, Henning Friis Poulsen, Søren Schmidt.

Abstract

We introduce the binary superposed phase retrieval problem that aims at reconstructing multiple 0/1-valued functions with nonoverlapping bounded supports from moduli of superpositions of several displaced copies of their individual Fourier transforms. We discuss an application in coherent diffraction imaging of crystalline objects, propose two algorithms, and evaluate their performance by means of simulations.

Entities: Chemical Disease Species

Mesh：

Year: 2010 PMID： 20808399 PMCID： PMC2933936 DOI： 10.1364/JOSAA.27.001927

Source DB: PubMed Journal: J Opt Soc Am A Opt Image Sci Vis ISSN： 1084-7529 Impact factor: 2.129

11 in total

1. On possible extensions of X-ray crystallography through diffraction-pattern oversampling

Authors:
Journal: Acta Crystallogr A Date: 2000-11 Impact factor: 2.290

2. Atomic resolution imaging of a carbon nanotube from diffraction intensities.

Authors: J M Zuo; I Vartanyants; M Gao; R Zhang; L A Nagahara
Journal: Science Date: 2003-05-30 Impact factor: 47.728

3. Phase retrieval algorithms: a comparison.

Authors: J R Fienup
Journal: Appl Opt Date: 1982-08-01 Impact factor: 1.980

4. Diffractive electron imaging of nanoparticles on a substrate.

Authors: Jinsong Wu; U Weierstall; John C H Spence
Journal: Nat Mater Date: 2005-11-20 Impact factor: 43.841

5. Three-dimensional mapping of a deformation field inside a nanocrystal.

Authors: Mark A Pfeifer; Garth J Williams; Ivan A Vartanyants; Ross Harder; Ian K Robinson
Journal: Nature Date: 2006-07-06 Impact factor: 49.962

6. Searching with iterated maps.

Authors: V Elser; I Rankenburg; P Thibault
Journal: Proc Natl Acad Sci U S A Date: 2007-01-03 Impact factor: 11.205

Review 7. Extending X-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes.

Authors: Jianwei Miao; Tetsuya Ishikawa; Qun Shen; Thomas Earnest
Journal: Annu Rev Phys Chem Date: 2008 Impact factor: 12.703

Phase retrieval for superposed signals from multiple binary objects.

1. On possible extensions of X-ray crystallography through diffraction-pattern oversampling

2. Atomic resolution imaging of a carbon nanotube from diffraction intensities.

3. Phase retrieval algorithms: a comparison.

4. Diffractive electron imaging of nanoparticles on a substrate.

5. Three-dimensional mapping of a deformation field inside a nanocrystal.

6. Searching with iterated maps.

Review 7. Extending X-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes.

8. Optimization by simulated annealing.

9. Reconstruction of compact binary images from limited Fourier amplitude data.

10. A GREEDY METHOD FOR RECONSTRUCTING POLYCRYSTALS FROM THREE-DIMENSIONAL X-RAY DIFFRACTION DATA.

1. Partially coherent phase imaging with simultaneous source recovery.