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EVP-Based Multiple-View Triangulation

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Advances in Visual Computing (ISVC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6455))

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Abstract

This paper addresses multiple-view L 2 triangulation by proposing a new method based on eigenvalue problems (EVPs), which belong to the class of convex programming. The proposed method provides a candidate of the sought 3D point and a straightforward condition for establishing its optimality, which also yields a guaranteed range for the optimal cost of the triangulation problem in case of non-optimality. The proposed method is illustrated through some well-known examples with real data, for which the provided candidate 3D point is always optimal. These examples also show that the computational time of the proposed method is indeed small and competitive with existing approaches.

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References

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Author information

Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Hong Kong, Pokfulam Road, Hong Kong

    G. Chesi & Y. S. Hung

Authors
  1. G. Chesi
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  2. Y. S. Hung
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, University of Nevada, 89557, Reno, NV, USA

    George Bebis

  2. NASA Ames Research Center, 94035, Moffett Field, CA, USA

    Richard Boyle

  3. Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Bahram Parvin

  4. Desert Research Institute, Reno, NV, USA

    Darko Koracin

  5. The Chinese University of Hong Kong, Shatin, Hong Kong, China

    Ronald Chung

  6. Dyna Vox Systems, Pittsburgh, PA, USA

    Riad Hammound

  7. King Saud University, Riyadh, Saudi Arabia

    Muhammad Hussain

  8. Hewlett Packard Labs, Paolo Alto, CA, USA

    Tan Kar-Han

  9. The Ohio State University, Columbus, OH, USA

    Roger Crawfis

  10. Virtual Reality Lab, EPFL, Lausanne, Switzerland

    Daniel Thalmann

  11. NASA Ames Research Center, Clifton Park, NY, USA

    David Kao

  12. Kitware, Clifton Park, NY, USA

    Lisa Avila

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© 2010 Springer-Verlag Berlin Heidelberg

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Chesi, G., Hung, Y.S. (2010). EVP-Based Multiple-View Triangulation. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2010. Lecture Notes in Computer Science, vol 6455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17277-9_12

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  • DOI: https://doi.org/10.1007/978-3-642-17277-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17276-2

  • Online ISBN: 978-3-642-17277-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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