Shape Analysis of Elastic Curves in Euclidean Spaces

This paper introduces a square-root velocity (SRV) representation for analyzing shapes of curves in euclidean spaces under an elastic metric. In this SRV representation, the elastic metric simplifies to the IL 2 metric, the reparameterization group acts by isometries, and the space of unit length cu...

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Veröffentlicht in:	IEEE transactions on pattern analysis and machine intelligence 2011-07, Vol.33 (7), p.1415-1428
Hauptverfasser:	Srivastava, A, Klassen, E, Joshi, S H, Jermyn, I H
Format:	Artikel
Sprache:	eng
Schlagworte:	Additives Analytical models Applied sciences Artificial intelligence Computer science control theory systems Deformation Elastic curves elastic geodesics elastic metric Exact sciences and technology Extraterrestrial measurements Face recognition Fisher-Rao metric Intelligence Manifolds Mathematics Optimization Orbits parallel transport path straightening method Pattern analysis Pattern recognition. Digital image processing. Computational geometry Representations Riemannian shape analysis Shape shape models square-root representations Straightening Studies
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