Near-isometric motion analysis using spectral geometry
Abstract
This chapter presents a novel method to analyze a set of poses of 3D models that are represented with triangle meshes and unregistered. Different shapes of poses are transformed from the 3D spatial domain to a geometry spectral domain defined by the Laplace–Beltrami operator. During this space-spectrum transform, all near-isometric deformations, mesh triangulations, and Euclidean transformations are filtered away. The different spatial poses from a 3D model are represented with near-isometric deformations, and therefore they have similar behaviors in the spectral domain. Semantic parts of that model are then determined based on the computed geometric properties of all the ...
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