Mesh deformation with hard constraints

In this paper we tackle the issue of 3D mesh deformation when hard constraints of warping are imposed by user or application. First, we propose a review of the most salient methods existent in the technical literature. Then we retain for a more detailed analysis only some variants of Laplacian coordinates and Radial Basis Functions techniques that allow fine local movements of vertices and respect a set of constraints. We evaluate the selected techniques in terms of quality deformation, computational efficiency and displacement accuracy. The best results are obtained for the CTPS C²_a continuous radial basis function closely followed by CP C² function.