Determining the Epipolar Geometry and its Uncertainty: A Review

  • Authors:
  • Zhengyou Zhang

  • Affiliations:
  • INRIA, 2004 route des Lucioles, BP 93, F-06902 Sophia-Antipolis Cedex, France. E-mail: zzhang@sophia.inria.fr

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 1998

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Abstract

Two images of a single scene/object are related by the epipolargeometry, which can be described by a 3×3 singular matrix called theessential matrix if images‘ internal parameters are known, or thefundamental matrix otherwise. It captures all geometric informationcontained in two images, and its determination is very important in manyapplications such as scene modeling and vehicle navigation. This paper givesan introduction to the epipolar geometry, and provides acomplete review of the current techniques for estimating the fundamentalmatrix and its uncertainty. A well-founded measure isproposed to compare these techniques. Projectivereconstruction is also reviewed. The software which we have developedfor this review is available on the Internet.