PhD Defense of Jérôme Lesaint from GMCAO team, on July, the sixth, at 2:30pm :

'Data consistency conditions in X-ray transmission imaging and their application to the self-calibration problem'

Place : Amphi Supérieur Nord, Bâtiment Jean Roget

Thesis supervisor :

• Rolf Clackdoyle, laboratoire TIMC-IMAG, Université Grenoble Alpes, co-director
• Laurent Desbat, laboratoire TIMC-IMAG, CNRS, co-director

Jury :

• Michel Defrise,Vrije Universiteit Brussels, Reporter
• Xiaochuan Pan, The University of Chicago, Reporter
• Valérie Perrier, Laboratoire Jean Kuntzmann, Université de Grenoble, Examiner
• Francois Peyrin, Creatis, Examiner
• Emil Sidky, The University of Chicago, Examiner

Key Words : tomography, data consistency conditions, cone-beam CT, self-calibration

Abstract : In X-ray transmission imaging, the collected measurements correspond to an integral operator: the Radon transform in parallel geometry and the divergent beam transform in divergent geometry. The range of these operators is characterized by conditions, which help to quantify the consistency of the measured data with the forward integral model. The first pillar of this PhD work studies range conditions in cone-beam acquisition geometry: we derive new conditions for a planar trajectory and establish a new relation between 2D fanbeam conditions and Grangeat-based conditions. The second pillar is related to the self-calibration of cone-beam systems. The acquisition geometry of the system is determined from range conditions and a parametric model of the projection geometry.