An Elasticity-Based Covariance Analysis of Shapes

Abstract

We introduce the covariance of a number of given shapes if they are interpreted as boundary contours of elastic objects. Based on the notion of nonlinear elastic deformations from one shape to another, a suitable linearization of geometric shape variations is introduced. Once such a linearization is available, a principal component analysis can be… (More)
DOI: 10.1007/s11263-010-0358-2

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