title: Pairwise harmonics for shape analysis.
abstract: This paper introduces a simple yet effective shape analysis mechanism for geometry processing. Unlike traditional shape analysis techniques which compute descriptors per surface point up to certain neighborhoods, we introduce a shape analysis framework in which the descriptors are based on pairs of surface points. Such a pairwise analysis approach leads to a new class of shape descriptors that are more global, discriminative, and can effectively capture the variations in the underlying geometry. Specifically, we introduce new shape descriptors based on the isocurves of harmonic functions whose global maximum and minimum occur at the point pair. We show that these shape descriptors can infer shape structures and consistently lead to simpler and more efficient algorithms than the state-of-the-art methods for three applications: intrinsic reflectional symmetry axis computation, matching shape extremities, and simultaneous surface segmentation and skeletonization.
authors: Geometric Modeling and Scientific Visualization Center, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia. youyi.zheng@kaust.edu.sa
authors: Youyi
authors: Y
authors: Zheng
authors: Chiew-Lan
authors: CL
authors: Tai
authors: Eugene
authors: E
authors: Zhang
authors: Pengfei
authors: P
authors: Xu