Shape Recovery of Vertex and Whole Body from Line Drawings.

Abstract

This paper aims at human like interpretation using stereopsis. The three-dimensional direction of an edge is formulated as a function of the inclination of the edge in the two-dimensional images. A norm is defined to evaluate the error from the correct value of the direction of edges. An assumed energy function is utilized to evaluate the orthogonality of the two edges. This function represents the deviation from right angles of the above-mentioned picture. Minimization of the weighted summation of the energy function and the norm enables us to reconstruct the three-dimensional shape from two-dimensional drawings. We clarify the relationship between an actual visual angle from objects and interpretation of the line drawings. This method is applied to a projection of a polyhedron, a Necker cube, and an illusory picture. Several experimental results demonstrate that the present method yields human like interpretation.