An invariant bipolar representation for 3D surfaces
نویسنده
چکیده
Here, we intend to introduce an invariant bipolar representation for curved surfaces based on the superposition of the two geodesic potentials defined from two given reference points on the surface. By considering a levels set of such geodesic potentials, a finite set of invariant points under 3D motion group is obtained. We propose to compare two different numerical algorithms which compute this discrete representation. The discrimination power of such two representations in the mean of shape distance is studied. The robustness under small difference variation on the two reference points is also evaluated. Experimentations are performed on the 3D real surfaces.
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