Variational Methods for Tomographic Reconstruction with Few Views

被引：0
作者：
Maïtine Bergounioux
Isabelle Abraham
Romain Abraham
Guillaume Carlier
Erwan Le Pennec
Emmanuel Trélat
机构：
[1] Université d’Orléans,Institut Denis Poisson – UMR 7013
[2] CEA Ile de France,CEREMADE, UMR CNRS 7534
[3] Université Paris IX Dauphine,CMAP, École polytechnique, CNRS
[4] Université Paris-Saclay,Laboratoire Jacques
[5] Sorbonne Université (Paris 6),Louis Lions, CNRS Inria, équipe CAGE
来源：
Milan Journal of Mathematics | 2018年 / 86卷
关键词：
49K40; 45Q05; 65M32; Tomographic reconstruction; variational method; optimal transport; Radon operator; inverse problem; fractional order Hilbert spaces; needlets;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：157 / 200
页数：43
相关论文
共 56 条
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  • [10] Ammari Amara(2009)A relaxation approach for smooth tomographic reconstruction of binary axially symmetric objects Pacific Journal of Optimization, 5 39-2332
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