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Dense Point‐to‐Point Correspondences Between Genus‐Zero Shapes
Author(s) -
Lee Sing Chun,
Kazhdan Misha
Publication year - 2019
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.13787
Subject(s) - conformal map , computer science , inversion (geology) , parametrization (atmospheric modeling) , point (geometry) , ambiguity , algorithm , unit sphere , artificial intelligence , point cloud , computer vision , geometry , mathematics , mathematical analysis , physics , geology , optics , paleontology , structural basin , radiative transfer , programming language
We describe a novel approach that addresses the problem of establishing correspondences between non‐rigidly deformed shapes by performing the registration over the unit sphere. In a pre‐processing step, each shape is conformally parametrized over the sphere, centered to remove Möbius inversion ambiguity, and authalically evolved to expand regions that are excessively compressed by the conformal parametrization. Then, for each pair of shapes, we perform fast SO(3) correlation to find the optimal rotational alignment and refine the registration using optical flow. We evaluate our approach on the TOSCA dataset, demonstrating that our approach compares favorably to state‐of‐the‐art methods.