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A component-wise iterated relative entropy regularization method with updated prior and regularization parameter
Stockholm University, Faculty of Science, Department of Mathematics. Matematik.
2007 (English)In: Inverse Problems, 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
2007. Vol. 23, no 5, 2121-2139 p.
National Category
Computational Mathematics
URN: urn:nbn:se:su:diva-20248DOI: doi:10.1088/0266-5611/23/5/018ISI: 000249735000019OAI: diva2:186774
Available from: 2007-11-23 Created: 2007-11-23 Last updated: 2011-01-11Bibliographically approved

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Rullgård, Hans
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