Thumbnail

Variational methods for tomographic reconstruction with few views

Bergounioux, Maïtine; Abraham, Isabelle; Abraham, Romain; Carlier, Guillaume; Le Pennec, Erwan; Trélat, Emmanuel (2018), Variational methods for tomographic reconstruction with few views, Milan Journal of Mathematics, 86, 2, p. 157--200. 10.1007/s00032-018-0285-1#Abs1

View/Open
Type
Article accepté pour publication ou publié
Date
2018
Journal name
Milan Journal of Mathematics
Volume
86
Number
2
Publisher
Springer
Pages
157--200
Publication identifier
Metadata
Show full item record
Author(s)
Bergounioux, Maïtine
Institut Denis Poisson [IDP]
Abraham, Isabelle
Commissariat à l'Energie Atomique et aux Energies Alternatives [CEA]
Abraham, Romain
Institut Denis Poisson [IDP]
Carlier, Guillaume
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Le Pennec, Erwan
Centre de Mathématiques Appliquées - Ecole Polytechnique [CMAP]
Trélat, Emmanuel
Laboratoire Jacques-Louis Lions [LJLL]
Abstract (EN)
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.
Subjects / Keywords
Optimal; Needlets; Spaces; Fractional order Hilbert; Radon operator; Tomographic reconstruction; Variational method; transport; Inverse problem