Phase retrieval via non-rigid image registration
(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:
https://lup.lub.lu.se/record/07cc6056-1c2d-4937-bbd3-051fdf0fe2ac
- author
- Malm, Erik LU
- organization
- publishing date
- 2023-06-26
- 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}}, }