Keywords: mesh, tiling, cutting, topological and geometrical constraints, algorithms.
Abstract: algorithmic geometry and topology provide a large number of abstract objects and algorithms to manipulate manifolds (surfaces, volumic objects), to extract information and/or modify it under several constraints.
Abstract: Integrating geometrical and topological constraints in computer graphics field is an interesting way to solve several questions, e.g. obtaining a satisfying cutting of a surface in order to perform in an efficient way a conformal parameterization. I am also interested in adapting the theoretical algorithms in order to offer interactive adjustments to the infographist.
Abstract: pre and post-operative images like MRI can be modelized as voxel matrices, and a large number of algorithms from discrete geometry can be applied. Extracting a surface from such a description is also an interesting way to modelize the observed anatomical objects (organs, tissues, etc.) and facilitate the usage of geometrical and topological tools. I mainly worked on this approach, generating surfaces from the voxel description, then modifying the surface by integrating expert knowledge, related with geometry or topology, or extracting information to measure properties.
Abstract: computer vision field is mainly motivated by linear or quasi-linear approaches of image processing, for example for shape estimation from image sequences. But it also need to introduce original point cloud or mesh processing to extract geometric properties.