Nonisometric motion analysis by variation of shape spectrum
Abstract
This chapter presents a novel approach based on spectral geometry to quantify and recognize non-isometric deformations of 3D surfaces by mapping two manifolds. The method can determine multi-scale, non-isometric deformations through the variation of Laplace–Beltrami spectrum of two shapes. Given two triangle meshes, the spectra can be varied from one to another with a scale function defined on each vertex. The variation is expressed as a linear interpolation of eigenvalues of the two shapes. In each iteration step, a quadratic programming problem is constructed, based on our derived spectrum variation theorem and smoothness energy constraint, to compute the spectrum ...
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