Scale-Space Theories in Computer Vision

Abstract

In this paper, we introduce the linear scale-space theory for functionson finite graphs. This theory permits us to derive a discrete versionof the mean curvature flow. This discrete version yields a defor-mation procedure for polyhedrons. The adjacent matrix and the degreematrix of a polyhedral graph describe the system equation of thispoly- hedral deformation. The spectral thepry of graphs derive thestability condition of the polyhedral deformation.