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Issue ESAIM: Proc.
Volume 26, 2009
Mathematical methods for imaging and inverse problems
Page(s) 65 - 93
DOI http://dx.doi.org/10.1051/proc/2009006
Published online 25 April 2009

ESAIM: Proc., 2009, Vol. 26, pp. 65-93
DOI: 10.1051/proc/2009006

On the concept of scattered gamma-ray imaging and corresponding generalized Radon transforms

M.K. Nguyen1 and T. T. Truong2

1  Laboratoire Equipes de Traitement des Images et du Signal, (CNRS UMR 8051/ENSEA/Université de Cergy-Pontoise), 6, avenue du Ponceau, 95014 Cergy-Pontoise, France.
2  Laboratoire de Physique Théorique et Modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, 95302 Cergy-Pontoise, France.


Jan 2008 / Published online: 25 April 2009

Abstract
This paper reviews the concept of gamma-ray imaging based on Compton scattered radiation introduced some years ago. We describe its mathematical supporting structure of generalized Radon transforms and point out its main advantages in view of applications in nuclear medicine, industrial non-destructive evaluation, nuclear waste surveillance and fissile materials transportation monitoring. Some possible generalizations are mentioned as future research topics.


Résumé
Dans cet article, nous présentons le concept d'imagerie gamma basée sur le rayonnement diffusé par effet Compton, qui a été introduit quelques années auparavant. Nous exposons la structure mathématique des transformations de Radon généralisées sous-jacente et passons en revue ses propriétés avantageuses en vue d' applications en médecine nucléaire, contrôle non-destructif industriel, surveillance des dépôts de déchets radioactifs et contrôle du transport des matériaux fissiles. Quelques généralisations de ce concept sont susceptibles de recherche future.


Mathematics Subject Classification. 02.30.Uu, 87.57.-s, 78.70.-g

Key words: Generalized Radon transforms, gamma-ray imaging, Compton scattering, object reconstruction


© EDP Sciences, ESAIM 2009


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