The Quadric Reference Surface: Theory and Applications

  • Authors:
  • Amnon Shashua;Sebastian Toelg

  • Affiliations:
  • The Institute of Computer Science, Hebrew University, Jerusalem 91904, Israel. E-mail: shashua@cs.huji.ac.il;Zentrum Fuer Neuroinformatik GmbH, Bochum, Germany. E-mail: toelg@berlin.zn.ruhr-uni-bochum.de

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 1997

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Abstract

The conceptual component of this work is about “referencesurfaces” which are the analogous to reference frames often used forshape representation purposes. The theoretical component of thiswork involves the question of whether one can find a unique (andsimple) mapping that aligns two arbitrary perspective views of anopaque textured quadric surface in 3D, given (i) few corresponding pointsin the two views, or (ii) the outline conic of the surface in oneview (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 fullcorrespondence between views of arbitrary objects.