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A component-wise iterated relative entropy regularization method with updated prior and regularization parameter
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). (CIAM - Center for Applied and Industrial Mathematics)ORCID iD: 0000-0002-1118-6483
Stockholm University. (Department of Mathematics)
Karolinska Institutet. (Department of Cell and Molecular Biology)
2007 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 23, no 5, 2121-2139 p.Article in journal (Refereed) Published
Abstract [en]

We present a componentwise iterated relative entropy regularization method (COMET) where the prior and regularization parameter could be updated in the iterates. Such a reconstruction method could be useful for multicomponent inverse problems, such as the one occurring in electron tomography. The paper also contains a brief introduction to regularization theory with emphasis on variational based regularization methods, and we rigorously prove that the tolerance-based entropy reconstruction method that occurs in the COMET iterates is a regularization method. We conclude by showing examples of COMET applied to electron tomography data.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2007. Vol. 23, no 5, 2121-2139 p.
Keyword [en]
Regularisation, electron tomography, maximum entropy, limited angle tomography
National Category
Mathematical Analysis
Research subject
SRA - E-Science (SeRC); SRA - Molecular Bioscience
Identifiers
URN: urn:nbn:se:kth:diva-71129DOI: 10.1088/0266-5611/23/5/018ISI: 000249735000019OAI: oai:DiVA.org:kth-71129DiVA: diva2:486600
Funder
Swedish e‐Science Research Center
Note
QC 20120207Available from: 2012-02-07 Created: 2012-01-30 Last updated: 2017-12-08Bibliographically approved

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Öktem, Ozan

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