Jonathan Pokrass (Tel Aviv University)
Finding a match between partially available deformable shapes is a
challenging problem with numerous applications. The problem is usually
approached by computing local descriptors on a pair of shapes and then
establishing a point-wise correspondence between the two. We introduce an
alternative correspondence-less approach to matching fragments to an
entire shape undergoing a non-rigid deformation. We use diffusion
geometric descriptors and optimize over the integration domains on which
the integral descriptors of the two parts match. The problem is
regularized using the Mumford-Shah functional. We show an efficient
discretization based on the Ambrosio-Tortorelli approximation generalized
to triangular meshes. Experiments demonstrating the success of the
proposed method are presented.
This work was done under the supervision of Dr. Alex Bronstein.