In this paper we present the geometry and the algorithms for organizing a viewer-centered representation of the occluding contour of polyhedra. The contour is computed from a polyhedral boundary model as it would appear under orthographic projection into the image plane from every viewpoint on the view sphere. Using this representation , we show how to derive constraints on regions in viewpoint...

This is a survey on our work generalizing the classical Dehn-Sommerville equations (analogous to Poincaré duality, see [10]) for f -vectors of triangulations of manifolds without boundary to general polyhedra. Our key observation is that the exact data needed for the generalization is the classification of points of polyhedra by the Euler characteristics of their links. From this viewpoint, a p...

The aim of this paper is to explore intrinsic geometric methods of recovering the three dimensional motion of a moving camera from a sequence of images. Generic similarities between the discrete approach and the differential approach are revealed through a parallel development of their analogous motion estimation theories. We begin with a brief review of the (discrete) essential matrix approach...