International Journal of Computer Vision

, Volume 23, Issue 2, pp 185–198

The Quadric Reference Surface: Theory and Applications

  • Amnon Shashua
  • Sebastian Toelg
Article

DOI: 10.1023/A:1007962930529

Cite this article as:
Shashua, A. & Toelg, S. International Journal of Computer Vision (1997) 23: 185. doi:10.1023/A:1007962930529

Abstract

The conceptual component of this work is about “reference surfaces” which are the analogous to reference frames often used for shape representation purposes. The theoretical component of this work involves the question of whether one can find a unique (and simple) mapping that aligns two arbitrary perspective views of an opaque textured quadric surface in 3D, given (i) few corresponding points in the two views, or (ii) the outline conic of the surface in one view (only) and few corresponding points in the two views. The practical component of this work is concerned with applying the theoretical results as tools for the task of achieving full correspondence between views of arbitrary objects.

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Amnon Shashua
    • 1
  • Sebastian Toelg
    • 2
  1. 1.The Institute of Computer ScienceHebrew UniversityJerusalemIsrael
  2. 2.Zentrum Fuer Neuroinformatik GmbHBochumGermany