Abstract
The main contribution of this paper is the definition of multi-label simple points ensuring that the partition topology remains invariant during a deformation process. The definition is based on intervoxel properties, and uses the notion of collapse on cubical complexes. This work is an extension of a restricted definition that prohibits the move of intersections of boundary surfaces. A deformation process is carried out with a greedy energy minimization algorithm. A discrete area estimator is used to approach at best standard regularizers classically used in continuous energy minimizing methods. The effectiveness of our approach is illustrated by the deformation of topologically correct initial partitions of a 3D medical image to minimize its energy.
Jacques-Olivier Lachaud
Professor of Computer Science
My research interests include digital geometry, geometry processing, image analysis, variational models and discrete calculus.