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Using Conic Correspondences in Two Images to Estimate the Epipolar Geometry

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Author

Summary, in English

In this paper it is shown hour corresponding conics in two images can be used to estimate the epipolar geometry in terms of the fundamental/essential matrix. The corresponding conics can, be images of either planar celtics or silhouettes of quadrics. It is shown that one conic correspondence gives two independent constraints on the fundamental matrix and a method to estimate the fundamental matrix from at least four corresponding conics is presented. Furthermore, a new type of fundamental matrix for describing conic correspondences is introduced. Finally, it is shown that the problem of estimating the fundamental matrix from 5 point correspondences and 1 conic correspondence in general has 10 different solutions. A method to calculate these solutions is also given together with an experimental validation

Publishing year

1998

Language

English

Pages

761-766

Publication/Series

Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)

Document type

Conference paper

Topic

  • Mathematics

Keywords

  • computational geometry
  • computer vision
  • motion estimation
  • conic correspondences
  • epipolar geometry
  • image estimation
  • planar celtics
  • silhouettes
  • quadrics
  • fundamental matrix

Conference name

IEEE International Conference on Computer Vision, 1998

Conference date

1998-01-04 - 1998-01-07

Conference place

Mumbai, India

Status

Published

ISBN/ISSN/Other

  • ISBN: 81 7319 221 9