The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects

Abstract

(Also cross-referenced as CAR-TR-702) The theoretical component of this work involves the following

question: Given any two views of some unknown textured opaque quadric surface in 3D, is there a finite number of corresponding points across the two views that uniquely determine all other correspondences coming from points on the quadric? A constructive answer to this question is then used to propose a transformation, which we call a nominal quadratic transformation, that can be used in practice to facilitate the process of achieving full point-to-point correspondence between two grey-level images of the same (arbitrary) object.