Topology-preservation in 3-D image deformation and registration: Methodology and medical applications

International audienceTo obtain correct topological properties when analysing a 3-D image, a solution consists in using an a priori model presenting satisfying properties w.r.t. the object to analyse, and to "fit" the model on this object. We propose a methodological framework which tackles this problem by fusing two classical approaches: image deformation, and image registration, which consider discrete and continuous topology preservation, respectively. The methodology, applied on medical data, provides quite satisfactory results