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

Authors:
Hidekata Hontani;Yu Suzuki;Yoshikazu Giga;Mi-Ho Giga;Koichiro Deguchi
Affiliations:
Department of Informatics, Yamagata University, Yamagata, Japan;Department of Informatics, Yamagata University, Yamagata, Japan;Graduate School of Mathematical Sciences, Tokyo University, Tokyo, Japan;Graduate School of Mathematical Sciences, Tokyo University, Tokyo, Japan;Department of System Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai, Japan
Venue:
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Year:
2005

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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.