# Elastic Geodesic Paths in Shape Space of Parameterized Surfaces

@article{Kurtek2012ElasticGP, title={Elastic Geodesic Paths in Shape Space of Parameterized Surfaces}, author={Sebastian Kurtek and Eric Klassen and John C. Gore and Zhaohua Ding and Anuj Srivastava}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, year={2012}, volume={34}, pages={1717-1730} }

This paper presents a novel Riemannian framework for shape analysis of parameterized surfaces. In particular, it provides efficient algorithms for computing geodesic paths which, in turn, are important for comparing, matching, and deforming surfaces. The novelty of this framework is that geodesics are invariant to the parameterizations of surfaces and other shape-preserving transformations of surfaces. The basic idea is to formulate a space of embedded surfaces (surfaces seen as embeddings of a…

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