Exact inversion of a compound conical Radon transform and a novel nuclear imaging principle
[Inversion exacte d'une transformation conique de Radon composée et nouveau principe d'imagerie nucléaire]
Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 213-217.

Une nouvelle transformation intégrale issue de la formation d'image à partir des photons diffusés par effet Compton a été établie. Sa formule d'inversion explicite a été démontrée. Ses propriétés servent de fondement à un nouveau principe d'imagerie nucléaire.

A new integral transform arising from a theory of imaging based on Compton scattering is introduced and the explicit expression for its inverse is established. Its properties serve as foundation to a new nuclear emission imaging principle.

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DOI : 10.1016/S1631-073X(02)02453-6
Nguyen, Mai K. 1 ; Truong, Tuong T. 2

1 Équipe 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, 5, mail Gay-Lussac, 95031 Cergy-Pontoise, France
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Nguyen, Mai K.; Truong, Tuong T. Exact inversion of a compound conical Radon transform and a novel nuclear imaging principle. Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 213-217. doi : 10.1016/S1631-073X(02)02453-6. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02453-6/

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