Weighted Boundary Points for Shape Analysis

Shape analysis is an active and important branch in computer vision research field. In recent years, many geometrical, topological, and statistical features have been proposed and widely used for shape-related applications. In this paper, based on the properties of Distance Transform, we present a new shape feature, weight of boundary point. By computing the shortest distances between boundary points and distance contours of a transformed shape, every boundary point is assigned a weight, which contains the interior structure information of the shape. To evaluate the proposed new shape feature, we tested the weighted boundary points on shape matching and shape decomposition. The experimental results demonstrated the validity.