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Image reconstruction through metamorphosis
Univ Paris, LJLL, Sorbonne Univ, CNRS, F-75005 Paris, France..
Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2020 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 36, no 2, article id 025001Article in journal (Refereed) Published
Abstract [en]

The paper describes a method for reconstructing an image from noisy and indirect observations by registering, via metamorphosis, a template. The image registration part consists of two components, one is a geometric deformation that moves intensities without changing them and the other that changes intensity values. Unlike a registration with only geometrical deformation, this framework gives good results also when intensities of the template are poorly chosen. It also allows for appearance of a new structure. The approach is applicable to general inverse problems in imaging and we prove existence, stability and convergence, which implies that the method is a well-defined regularisation method. We also present several numerical examples from tomography.

Place, publisher, year, edition, pages
IOP PUBLISHING LTD , 2020. Vol. 36, no 2, article id 025001
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-267498DOI: 10.1088/1361-6420/ab5832ISI: 000509243200001Scopus ID: 2-s2.0-85081106702OAI: oai:DiVA.org:kth-267498DiVA, id: diva2:1422330
Note

QC 20200407

Available from: 2020-04-07 Created: 2020-04-07 Last updated: 2024-03-18Bibliographically approved

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Öktem, Ozan

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