Title: Symmetry Analysis and its Applications

Abstract:
Symmetry is an important cue for many applications in computer graphics, geometric modeling, and computer vision. Yet, it is only recent that symmetry has received much attention in computer graphics. In this talk, I will describe computational methods to analyze, represent, and utilize the symmetries of a 3D object, focusing on representations that describe partial and approximate symmetries of a surface mesh with respect to planar reflections. I will describe frequency-domain and Monte Carlo algorithms to compute the representations and applications in computer graphics, including shape matching, segmentation of meshes into parts, surface remeshing, surface beautification, and automatic viewpoint selection.