Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Phase retrieval via non-rigid image registration

Malm, Erik LU (2023) In arXiv.org
Abstract
Phase retrieval is the numerical procedure of recovering a complex-valued signal from knowledge about its amplitude and some additional information. Here, an indirect registration procedure, based on the large deformation diffeomorphic metric mapping (LDDMM) formalism, is investigated as a phase retrieval method for coherent diffractive imaging. The method attempts to find a deformation which transforms an initial, template image to match an unknown target image by comparing the diffraction pattern to the data. The exterior calculus framework is used to treat different types of deformations in a unified and coordinate-free way. The algorithm performance with respect to measurement noise, image topology, and particular action are explored... (More)
Phase retrieval is the numerical procedure of recovering a complex-valued signal from knowledge about its amplitude and some additional information. Here, an indirect registration procedure, based on the large deformation diffeomorphic metric mapping (LDDMM) formalism, is investigated as a phase retrieval method for coherent diffractive imaging. The method attempts to find a deformation which transforms an initial, template image to match an unknown target image by comparing the diffraction pattern to the data. The exterior calculus framework is used to treat different types of deformations in a unified and coordinate-free way. The algorithm performance with respect to measurement noise, image topology, and particular action are explored through numerical examples. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
arXiv.org
article number
2306.15701
publisher
Cornell University Library
ISSN
2331-8422
DOI
10.48550/arXiv.2306.15701
language
English
LU publication?
yes
id
07cc6056-1c2d-4937-bbd3-051fdf0fe2ac
alternative location
https://arxiv.org/abs/2306.15701
date added to LUP
2023-07-05 10:33:49
date last changed
2023-08-23 14:13:03
@article{07cc6056-1c2d-4937-bbd3-051fdf0fe2ac,
  abstract     = {{Phase retrieval is the numerical procedure of recovering a complex-valued signal from knowledge about its amplitude and some additional information. Here, an indirect registration procedure, based on the large deformation diffeomorphic metric mapping (LDDMM) formalism, is investigated as a phase retrieval method for coherent diffractive imaging. The method attempts to find a deformation which transforms an initial, template image to match an unknown target image by comparing the diffraction pattern to the data. The exterior calculus framework is used to treat different types of deformations in a unified and coordinate-free way. The algorithm performance with respect to measurement noise, image topology, and particular action are explored through numerical examples.}},
  author       = {{Malm, Erik}},
  issn         = {{2331-8422}},
  language     = {{eng}},
  month        = {{06}},
  publisher    = {{Cornell University Library}},
  series       = {{arXiv.org}},
  title        = {{Phase retrieval via non-rigid image registration}},
  url          = {{http://dx.doi.org/10.48550/arXiv.2306.15701}},
  doi          = {{10.48550/arXiv.2306.15701}},
  year         = {{2023}},
}