Robust discovery of partial rigid symmetries on 3D models

Abstract

The ubiquity of symmetry in nature and man-made artifacts has made symmetry discovery an important tool for numerous applications. The most fundamental and visually prominent kind of symmetry is partial rigid symmetry, which is explained as the invariance between parts of a 3D model under a set of translation, rotation, reflection, and uniform scaling generators. Thus automatic discovery of partial rigid symmetry on general 3D models, with no assumption on the size, shape or location of the symmetric parts, keeps to be a hot topic during recent years. Among such kind of works, the transformation voting technique [Mitra et al. 2006] is most widely used, due to its high efficiency and easiness for understanding and implementation.