Section: New Results

Re-meshing surfaces

Participants : Nicolas Bonneel, Bruno Lévy, David Lopez, Vincent Nivoliers, DongMing Yan.

In the frame of the ERC GOODSHAPE project, we continued to develop new methods to optimize the sampling of 3D objects. In particular, we studied how to sample a surface with generalized primitives, such as line segments and deformable graphs [11] . We also focused on the problem of remeshing a surface with quads, or fiting a polynomial surface to an input mesh. We proposed a method that minimizes an approximation of the integrated squared distance, based on a restricted Voronoi diagram [22] . Still on the same topic of mesh quadrangulation, we co-published a survey with other international experts of this field [16] .

We also worked on anisotropic surface meshing, and developed a technique based on embedding into higher dimensional space and a fast computation of the restricted Voronoi diagram [21] .