Figure field analysis of linear scale-space image

Authors:
Tomoya Sakai;Atsushi Imiya
Affiliations:
Institute of Media and Information Technology, Chiba University, Japan;Institute of Media and Information Technology, Chiba University, 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

This paper deals with the figure field, which is defined as the negative of the gradient vector field of the linear scale-space image. The scale-space hierarchy is obtained from the connectivity of stationary points determined by figure-field fluxes and trajectories of the stationary points in the scale space. A point at infinity plays an important role in this theory. The figure-field fluxes and the configuration of stationary points at each scale define a graph in the scale-space image. This graph describes the topological relations of segments in the original image. We employ the Voronoi tessellation to extract boundaries of the segments from the blurred linear scale-space image.