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Title: Nonlinear, noniterative, single-distance phase retrieval and developmental biology

Abstract

For coherent X-ray imaging, based on phase contrast through free-space Fresnel propagation, we discuss two noniterative, nonlinear approaches to the phase-retrieval problem from a single-distance intensity map of a pure-phase object. On one hand, a perturbative set-up is proposed where nonlinear corrections to the linearized transport-of-intensity situation are expanded in powers of the object-detector distance z and are evaluated in terms of the linear estimate. On the other hand, a nonperturbative projection algorithm, which is based on the (linear and local) contrast-transfer function (CTF), works with an effective phase in Fourier space. This effective phase obeys a modified CTF relation between intensity contrast at z > 0 and phase contrast at z= 0: Unphysical singularities of the local CTF model are cut off to yield 'quasiparticles' in analogy to the theory of the Fermi liquid. By identifying the positions of the zeros of the Fourier transformed intensity contrast as order parameters for the dynamical breaking of scaling symmetry we investigate the phase structure of the forward-propagation problem when interpreted as a statistical system. Results justify the quasiparticle approach for a wide range of intermediary phase variations. The latter algorithm is applied to data from biological samples recorded at the beamlinesmore » TopoTomo and ID19 at ANKA and ESRF, respectively.« less

Authors:
; ; ; ;  [1]
  1. Laboratorium fuer Applikationen der Synchrotronstrahlung (LAS), KIT Campus Sued, Postfach 6980, D-76128 Karlsruhe (Germany)
Publication Date:
OSTI Identifier:
22004046
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1437; Journal Issue: 1; Conference: 21. international congress on X-ray optics and microanalysis, Campinas (Brazil), 5-9 Sep 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; ALGORITHMS; BIOLOGICAL MATERIALS; CORRECTIONS; DISTANCE; EUROPEAN SYNCHROTRON RADIATION FACILITY; FOURIER TRANSFORMATION; IMAGE PROCESSING; MAPS; NONLINEAR PROBLEMS; ORDER PARAMETERS; TRANSFER FUNCTIONS

Citation Formats

Moosmann, Julian, Altapova, Venera, Haenschke, Daniel, Hofmann, Ralf, Baumbach, Tilo, Institut fuer Synchrotronstrahlung, Laboratorium fuer Applikationen der Synchrotronstrahlung, and Institut fuer Synchrotronstrahlung. Nonlinear, noniterative, single-distance phase retrieval and developmental biology. United States: N. p., 2012. Web. doi:10.1063/1.3703343.
Moosmann, Julian, Altapova, Venera, Haenschke, Daniel, Hofmann, Ralf, Baumbach, Tilo, Institut fuer Synchrotronstrahlung, Laboratorium fuer Applikationen der Synchrotronstrahlung, & Institut fuer Synchrotronstrahlung. Nonlinear, noniterative, single-distance phase retrieval and developmental biology. United States. https://doi.org/10.1063/1.3703343
Moosmann, Julian, Altapova, Venera, Haenschke, Daniel, Hofmann, Ralf, Baumbach, Tilo, Institut fuer Synchrotronstrahlung, Laboratorium fuer Applikationen der Synchrotronstrahlung, and Institut fuer Synchrotronstrahlung. 2012. "Nonlinear, noniterative, single-distance phase retrieval and developmental biology". United States. https://doi.org/10.1063/1.3703343.
@article{osti_22004046,
title = {Nonlinear, noniterative, single-distance phase retrieval and developmental biology},
author = {Moosmann, Julian and Altapova, Venera and Haenschke, Daniel and Hofmann, Ralf and Baumbach, Tilo and Institut fuer Synchrotronstrahlung and Laboratorium fuer Applikationen der Synchrotronstrahlung and Institut fuer Synchrotronstrahlung},
abstractNote = {For coherent X-ray imaging, based on phase contrast through free-space Fresnel propagation, we discuss two noniterative, nonlinear approaches to the phase-retrieval problem from a single-distance intensity map of a pure-phase object. On one hand, a perturbative set-up is proposed where nonlinear corrections to the linearized transport-of-intensity situation are expanded in powers of the object-detector distance z and are evaluated in terms of the linear estimate. On the other hand, a nonperturbative projection algorithm, which is based on the (linear and local) contrast-transfer function (CTF), works with an effective phase in Fourier space. This effective phase obeys a modified CTF relation between intensity contrast at z > 0 and phase contrast at z= 0: Unphysical singularities of the local CTF model are cut off to yield 'quasiparticles' in analogy to the theory of the Fermi liquid. By identifying the positions of the zeros of the Fourier transformed intensity contrast as order parameters for the dynamical breaking of scaling symmetry we investigate the phase structure of the forward-propagation problem when interpreted as a statistical system. Results justify the quasiparticle approach for a wide range of intermediary phase variations. The latter algorithm is applied to data from biological samples recorded at the beamlines TopoTomo and ID19 at ANKA and ESRF, respectively.},
doi = {10.1063/1.3703343},
url = {https://www.osti.gov/biblio/22004046}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1437,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2012},
month = {Thu May 17 00:00:00 EDT 2012}
}