Présidents de session
Tomographic reconstruction methods
- Laurent Desbat (UJF-Grenoble 1 / CNRS / TIMC-IMAG UMR 5525,)
Prof.
Hiroyuki Tanaka
(University of Tokyo)
20/04/2012 09:00
Oral
Dr
CRISTIANA SEBU
(OXFORD BROOKES UNIVERSITY)
20/04/2012 09:25
Inverse problem in Appplied Mathematics
Electrical Impedance Tomography (EIT) is a non-invasive, low cost technology developed to image the electrical conductivity distribution of a conductive medium. The technique works by performing simultaneous measurements of electric currents and voltages on the boundary of an object. These are the data used by an image reconstruction algorithm to determine the electrical conductivity...
Dr
Bernard Valette
(IRD)
20/04/2012 09:50
Inverse problem in Appplied Mathematics
Oral
The purpose of the talk is to present an approach of tomographic inverse problems based on regularization by covariance type norm in a stochastic framework. By using Bochner’s characterization of definite positive functions, some useful classes of covariance kernels can be displayed, and I will indicate how to assign values to the regularization parameters through L-curve analysis. I will also...
Fabien Momey
(Centre de Recherche Astrophysique de Lyon - UCB Lyon 1 / Laboratoire Hubert Curien - UJM Saint Étienne)
20/04/2012 10:50
Inverse problem in Appplied Mathematics
Oral
Iterative reconstruction in tomography, based on inverse problems approaches, have long proven their potential to enhance reconstruction quality, compared to the filtered backprojection (FBP). The drawback of iterative methods is their expensive computation time. However ongoing researches on algorithms and recent enhancements in computational power, call for a re-evaluation of the potential...
Dr
Maxime Moreaud
(IFP Energies nouvelles)
20/04/2012 11:15
Inverse problem in Appplied Mathematics
SRRQ (Spinning Registration Reconstruction Quantization) is a reconstruction method alternating projections alignment and segmentation of reconstructed volume. This method reconstructs alternately and iteratively an object complying a priori constraints, and an object which some projections comply registrated projections known experimentally. A priori constraints are derived for an object to...
Dr
Catherine Mennessier
(CPE Lyon)
20/04/2012 11:40
Inverse problem in Appplied Mathematics
Oral
Analytic two dimensional tomography aims at reconstructing a function from its line integrals, based on the exact inversion of the Radon operator. Until 2002 it was believed that no exact reconstruction was possible if any line integral was missing. Indeed, the reconstructions based on the FBP algorithm, used a non-local filter.
Surprisingly, new results were published in 2002 (see...
Dr
Lydia Maigne
(University Blaise Pascal)
20/04/2012 12:05
Inverse problem in Appplied Mathematics
Oral
Physical effects degrading the quality of reconstructed medical images have been corrected during a while using analytical methods, applied to projections or directly to reconstructed images but those methods are still aproximative.
An alternative approach is to correct those effects using iterative methods during the reconstruction of images.vThe principal is to model the physical and...
