Large Deformation Diffeomorphic Metric Curve Mapping
International Journal of Computer Vision
Automatic whole heart segmentation in static magnetic resonance image volumes
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization
Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization
Constitutive parameter estimation methodology using tagged-MRI data
FIMH'11 Proceedings of the 6th international conference on Functional imaging and modeling of the heart
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
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We adapt the formalism of currents to compare data surfaces and surfaces of a mechanical model and we use this discrepancy measure to feed a data assimilation procedure. We apply our methodology to perform parameter estimation in a biomechanical model of the heart using synthetic observations of the endo- and epicardium surfaces of an infarcted left ventricle. We compare this formalism with a more classical signed distance operator between surfaces and we numerically show that we have improved the efficiency of our estimation justifying the use of state-of-the-art computational geometry formalism in the data assimilation measurements processing.