Discrete Mean Curvature Flow

Authors:
Atsushi Imiya;Ulrich Eckhardt
Affiliations:
-;-
Venue:
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Year:
1999

Citing 2
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Abstract

In this paper, we introduce the linear scale-space theory for functions on finite graphs. This theory permits us to derive a discrete version of the mean curvature flow. This discrete version yields a deformation procedure for polyhedrons. The adjacent matrix and the degree matrix of a polyhedral graph describe the system equation of this polyhedral deformation. The spectral thepry of graphs derive the stability condition of the polyhedral deformation.