Estimating the three-dimensional shape from a silhouette by geometrical division of the plane

A method is shown for estimating the three-dimensional shape from a silhouette outline. It is shown how such a shape can be estimated on the basis of symmetry analysis. This is a consistent analysis and is based on rigid geometry as well as rigid logic. It is particularly interesting that the method is based on division of the plane. The Voronoi diagram represents territories of the dots, and the Delaunay triangulation represents the neighboring relation of the dots. Thus, the proposed method analyzes the visual field, and this analysis seems to reflect the psychophysics of human vision. More important is the fact that the edges of the plane division never intersect with each other. Therefore, there arise no crossings among the lines connecting the symmetric dot pairs. In this sense, the method is stable and applicable to complex shapes