Intrinsic local symmetries: a computational framework

Authors:
Carmi Grushko;Dan Raviv;Ron Kimmel
Affiliations:
Dept. of Computer Science, Technion, Israel;Dept. of Computer Science, Technion, Israel;Dept. of Computer Science, Technion, Israel
Venue:
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Year:
2012

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Abstract

We present a computational framework for finding metric-preserving tangent vector fields on surfaces, also known as Killing Vector Fields. Flows of such vector fields define self-isometries of the surface, or in other words, symmetries. Our approach is based on general-purpose isometry-finding frameworks, and is shown to be robust to noise. In addition, we demonstrate symmetry recovery using non-Euclidean metrics.