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

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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.

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Authors and Affiliations

  1. Department of Information Engineering, ISN State Key Laboratory, Xidian University, 710071, Xi'an, China

    Peiyi Shen, Wei Wang & Chengke Wu

  2. Lifia-CNRS-INRIA, 46 Avenue Felix Viallet, 38031, Grenoble Cedex, France

    Long Quan & Roger Mohr

Authors
  1. Peiyi Shen
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  2. Wei Wang
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  3. Chengke Wu
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  4. Long Quan
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  5. Roger Mohr
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 69605002) and France-China Advanced Research Program.

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Shen, P., Wang, W., Wu, C. et al. Geometrical constraints of the synthetic method of estimating fundamental matrix and its analysing. Sci. China Ser. E-Technol. Sci. 42, 321–329 (1999). https://doi.org/10.1007/BF02916779

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  • DOI: https://doi.org/10.1007/BF02916779

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