A set of bipolar invariants for R-3 surfaces. Application to the face description with a 3D approach
In this present work, we propose to introduce a novel curved surface representation which is relatively invariant under 3D motion group. Iris constructed from the superposition of two geodesic potentials of two fixed surface points. From this representation, finite invariant points could be extracted locally in the neighborhood of such two points. Several numerical methods are implemented and compared using the generalized Hausdorff distance defined on the shape space to approximate the proposed representation. Experimentations are performed on the 3D facial database Bosphorus in order to evaluate the discrimination power of such representation.
invariant face geodesic potential hausdorff distance shape space 3d mesh