Discrete Calculus, Optimisation and Inverse Problems in Imaging
Hugues Talbot
- Fonction : Auteur
- PersonId : 1939
- IdHAL : hugues-talbot
- ORCID : 0000-0002-2179-3498
- IdRef : 181843056
Résumé
Inverse problems in science are the process of estimating the causal factors that produced a set of observations. Many image processing tasks can be cast as inverse problems: image restoration : noise reduction, deconvolution; segmentation, tomography, demosaicing, inpaiting, and many others, are examples of such tasks. Typically, inverse problems are ill-posed, and solving these problems efficiently and effectively is a major, ongoing topic of research. While imaging is often thought of as occurring on regular grids, it is also useful to be able to solve these problems on arbitrary graphs. The combined frameworks of discrete calculus and modern optimisation allow us to formulate and provide solutions to many of these problems in an elegant way. This tutorial article summarizes and illustrates some of the research results of the last decade from this point of view. We provide illustrations and major references.
Format du dépôt | Notice |
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Type de dépôt | Communication dans un congrès |
Résumé |
en
Inverse problems in science are the process of estimating the causal factors that produced a set of observations. Many image processing tasks can be cast as inverse problems: image restoration : noise reduction, deconvolution; segmentation, tomography, demosaicing, inpaiting, and many others, are examples of such tasks. Typically, inverse problems are ill-posed, and solving these problems efficiently and effectively is a major, ongoing topic of research. While imaging is often thought of as occurring on regular grids, it is also useful to be able to solve these problems on arbitrary graphs. The combined frameworks of discrete calculus and modern optimisation allow us to formulate and provide solutions to many of these problems in an elegant way. This tutorial article summarizes and illustrates some of the research results of the last decade from this point of view. We provide illustrations and major references.
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Titre |
en
Discrete Calculus, Optimisation and Inverse Problems in Imaging
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Auteur(s) |
Hugues Talbot
1
1
LIGM -
Laboratoire d'Informatique Gaspard-Monge
( 3210 )
- Université de Paris-Est Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2
- France
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Langue du document |
Anglais
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Vulgarisation |
Non
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Comité de lecture |
Oui
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Invité |
Non
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Audience |
Internationale
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Actes |
Non
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Titre du congrès |
International Conference on Discrete Geometry for Computer Imagery
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Date début congrès |
2016-04-18
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Date fin congrès |
2016-04-20
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Ville |
Nantes
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Pays |
France
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Domaine(s) |
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Classification ACM 1998 |
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Projet(s) ANR |
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