%0 Conference Proceedings
%T On the efficiency of proximal methods for CBCT and PET
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%+ Institut de Mathématiques de Bordeaux (IMB)
%+ Centre de Physique des Particules de Marseille (CPPM)
%A Anthoine, Sandrine
%A Aujol, Jean-François
%A Boursier, Y.
%A Melot, Clothilde
%< avec comité de lecture
%B ICIP 2011 : 2011 IEEE International Conference on Image Processing
%C Bruxelles, Belgium
%P 1365 - 1368
%8 2011-09-11
%D 2011
%R 10.1109/ICIP.2011.6115691
%Z Mathematics [math]/Probability [math.PR]
%Z Life Sciences [q-bio]/BioengineeringConference papers
%X Cone Beam Computerized Tomography (CBCT) and Positron Emission Tomography (PET) Scans are medical imaging devices that require solving ill-posed inverse problems. The models considered come directly from the physics of the acquisition devices, and take into account the specificity of the (Poisson) noise. We propose various fast numerical schemes to compute the solution. In particular, we show that a new algorithm recently introduced by A. Chambolle and T. Pock is well suited in the PET case when considering non differentiable regularizations such as total variation or wavelet ℓ1-regularization. Numerical experiments indicate that the proposed algorithms compare favorably with respect to well-established methods in tomography.
%G English
%L in2p3-00869439
%U https://hal.in2p3.fr/in2p3-00869439
%~ IN2P3
%~ CPPM
%~ LATP
%~ CNRS
%~ UNIV-AMU
%~ IMB
%~ INSMI
%~ I2M