Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging

Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging

We consider optimal matching of submanifolds such as curves and surfaces by a variational approach based on Hilbert spaces of diffeomorphic transformations. In an abstract setting, the optimal matching is formulated as a minimization problem involving actions of diffeomorphisms on regular Borel measures considered as supporting measures of the reference and the target submanifolds. The objectiv...

3D Shape Matching with 3D Shape Contexts

Content based 3D shape retrieval for broad domains like the World Wide Web has recently gained considerable attention in Computer Graphics community. One of the main challenges in this context is the mapping of 3D objects into compact canonical representations referred to as descriptors or feature vector, which serve as search keys during the retrieval process. The descriptors should have certa...

Temporal 3d Shape Matching

This paper introduces a novel 4D shape descriptor to match temporal surface sequences. A quantitative evaluation based on the Receiver-Operator Characteristic (ROC) curve is presented to compare the performance of conventional 3D shape descriptors with and without using a time filter. Featurebased 3D Shape Descriptors including Shape Distribution [24], Spin Image [14], Shape Histogram [1] and S...

Deformation Tracking and Diffeomorphic Matching in Medical Imaging

This thesis focuses on deformation tracking and diffeomorphic matching in 2D or 3D medical imaging. We have developed and implemented novel algorithmic approaches to track both the myocardial motion in 2D IntraCardiac Echocardiography images and the Mitral Valve deformation in 3D ultrasound images. We studied the myocardial deformation through the registration of IntraCardiac Echocardiography i...

Diffeomorphic Density Matching by Optimal Information Transport