Compensation de déformations en tomographie dynamique 3D conique
Compensation of deformations in 3D cone beam tomography
OPEN ACCESS
In dynamic tomography, the measured objects or organs are no-longer supposed to be static in the scanner during the acquisition but are supposed to move or to be deformed. Our approach is the analytic deformation compensation during the reconstruction. Our work concentrates on 3D cone beam tomography. We introduce a new large class of deformations preserving the 3D cone beam geometry. We show that deformations from this class can be analytically compensated. We present numerical experiments on phantoms showing the compensation of these deformations in 3D cone beam tomography.
Résumé
L'objet de cette étude est la reconstruction tomographique d'objets ou d'organes qui se déforment au cours de l'acquisition des projections dans un scanner. Notre approche est celle de la compensation analytique des déformations lors de la reconstruction. Nous concentrons ce travail sur la géométrie conique 3D. Nous introduisons une classe de déformations préservant la géométrie conique 3D et nous montrons que les déformations issues de cette classe, beaucoup plus vaste que celle des déformations affines, peuvent être compensées analytiquement. Nous illustrons la compensation de déformations de cette classe par des expérimentations numériques sur des fantômes dynamiques en géométrie conique 3D.
Dynamic tomography, cone beam, deformation, reconstruction
Mots clés
Tomographie dynamique, géométrie conique, déformation, reconstruction
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