Abstract
Shape analysis is a fundamental research topic in computer graphics and computer vision including matching, retrieval, mapping, and so on. Inspired by the recent research, we focus on the shapes represented with differential geometry as the differential operators contain the intrinsic geometry information of the original shape. On one hand, the second-order Laplace–Beltrami operator introduces a spectral domain where the Euclidean transformations and isometric deformations are filtered out. In such a spectral domain, only the intrinsic shape properties are left. This book has focused on the shape analysis based on such geometry behind the differential operators.
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