F.: Detection and characterization of intrinsic symmetry

A comprehensive framework for detection and characterization of over-lapping intrinsic symmetry over 3D shapes is proposed. To identify promi-nent symmetric regions which overlap in space and vary in form, the pro-posed framework is decoupled into a Correspondence Space Voting proce-dure followed by a Transformation Space Mapping procedure. In the corre-spondence space voting procedure, significant symmetries are first detected by identifying surface point pairs on the input shape that exhibit local simi-larity in terms of their intrinsic geometry while simultaneously maintaining an intrinsic distance structure at a global level. Since different point pairs can share a common point, the detected symmetric shape regions can po-tentially overlap. To this end, a global intrinsic distance-based voting tech-nique is employed to ensure the inclusion of only those point pairs that exhibit significant symmetry. In the transformation space mapping proce-dure, the Functional Map framework is employed to generate the final map of symmetries between point pairs. The transformation space mapping pro