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.