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Geometrical constraints of the synthetic method of estimating fundamental matrix and its analysing

  • Peiyi Shen
  • Wei Wang
  • Chengke Wu
  • Long Quan
  • Roger Mohr
Article
  • 21 Downloads

Abstract

The new geometrical constraints, based on the geometrical analysing of synthetic method, are developed to estimate fundamental matrix (F matrix). Applying the new constraints, the four parameters of fundamental matrix could be estimated firstly, and these four parameters are the coordinates of the two epipoles. The other four parameters of the fundamental matrix could be solved by solving the linear equations with the other new constraint secondly, and these parameters represent the homography between the two pencils of epipolar lines. The synthetic data and the real data are used to test the new method. And the method is of the advantages of obvious geometrical meaning, and high stability of the epipoles of the fundamental matrix.

Keywords

fundamental matrix two-epipole constraint synthetic method 

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Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Peiyi Shen
    • 1
  • Wei Wang
    • 1
  • Chengke Wu
    • 1
  • Long Quan
    • 2
  • Roger Mohr
    • 2
  1. 1.Department of Information Engineering, ISN State Key LaboratoryXidian UniversityXi'anChina
  2. 2.Lifia-CNRS-INRIAGrenoble CedexFrance

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