A scale-space analysis of a contour figure using a crystalline flow

Abstract

A method for a scale-space analysis of a contour figure based on a crystalline flow is proposed. A crystalline flow is a special family of an evolving polygons, and is a discrete version of a curvature flow. Based on a crystalline flow of a given contour, the proposed method makes a scale-space representation and extracts several sets of dominant facets from the given contour. By changing the shape of the Wulff shape that plays a role of a unit circle for computing the nonlocal curvature of each facet, the method analyses the contour shape anisotropically. © Springer-Verlag Berlin Heidelberg 2005.