Discrete epipolar geometry

  • Authors:
  • Masatoshi Hamanaka;Yukiko Kenmochi;Akihiro Sugimoto

  • Affiliations:
  • Department of Information Technology, Okayama University, Japan;UMR 8049 – IGM, CNRS/University of Marne-la-Vallée/ESIEE, France;National Institute of Informatics, Japan

  • Venue:
  • DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
  • Year:
  • 2005

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Abstract

The epipolar geometry, which lies in the basis of 3D reconstruction techniques in the field of computer vision, is formulated in continuous spaces and gives geometric relationships between different views of a point in space. In applications, however, we cannot deal with points themselves in digital images. This is because digital images involve some digitization process and the smallest unit in digital images is a pixel. In this paper, we propose a discrete version of the epipolar geometry, called the discrete epipolar geometry, that gives geometric relationships between pixels rather than points. We then apply this discrete epipolar geometry to 3D reconstruction.