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Variational methods for tomographic reconstruction with few views

Abstract : We deal with a severe ill posed problem, namely the reconstruction process of an image during tomography acquisition with (very) few views. We present different methods that we have been investigated during the past decade. They are based on variational analysis. This is a survey paper and we refer to the quoted papers for more details. Mathematics Subject Classification (2010). 49K40, 45Q05,65M32.
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Submitted on : Saturday, June 16, 2018 - 8:39:55 PM
Last modification on : Thursday, February 3, 2022 - 11:15:22 AM
Long-term archiving on: : Monday, September 17, 2018 - 5:46:55 PM

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Maïtine Bergounioux, Isabelle Abraham, Romain Abraham, Guillaume Carlier, Erwan Le Pennec, et al.. Variational methods for tomographic reconstruction with few views. Milan Journal of Mathematics, Springer Verlag, 2018, 86 (2), pp.157--200. ⟨hal-01817172⟩

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