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Multiview geometry in traditional vision and omnidirectional vision under the L-norm

Multiview geometry in traditional vision and omnidirectional vision under the L-norm

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This study presents a review of multiview geometry problems in traditional vision and omnidirectional vision under the L-norm. The main advantage of this approach is a theoretical guarantee of global optimality. First, three core problems in multiview geometry in traditional vision are formulated as second-order cone programming feasibility problems. The extension of L-norm approach for multiview geometry from traditional vision to omnidirectional vision is shown by three models, a mirror model, a sphere model and a cylinder model. Finally, the authors assess their potential for future deployment and present directions for future research.

References

    1. 1)
      • Farenzena, M., Fusiello, A., Dovier, A.: `Reconstruction with interval constraints propagation', Proc. Int. Conf. Computer Vision and Pattern Recognition, 2006, New York City, USA, p. 1185–1190.
    2. 2)
    3. 3)
    4. 4)
      • Kahl, F.: `Multiple view geometry and the ', Proc. Int. Conf. Computer Vision, 2005, Beijing, China, p. 1002–1009.
    5. 5)
    6. 6)
    7. 7)
      • Olsson, C., Eriksson, A., Hartley, R.: `Outlier removal using duality', Proc. Int. Conf. Computer Vision and Pattern Recognition, 2010, p. 1450–1457.
    8. 8)
    9. 9)
    10. 10)
      • M. Grant , S. Boyd . cvx users’ Guide.
    11. 11)
      • Sim, K., Hartley, R.: `Removing outliers using the ', Proc. Int. Conf. Computer Vision and Pattern Recognition, 2006, New York City, USA, p. 485–492.
    12. 12)
    13. 13)
      • Hartley, R., Schaffalitzky, F.: ` minimization in geometric reconstruction problems', Proc. Int. Conf. Computer Vision and Pattern Recognition, 2004, p. 504–509.
    14. 14)
    15. 15)
      • Sim, K., Hartley, R.: `Recovering camera motion using the ', Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2006, p. 1230–1237.
    16. 16)
      • Hartley, R., Kahl, F.: `Optimal algorithms in multiview geometry', Proc. Asian Conf. Computer Vision, 2007, p. 13–34, (LNCS, 4843).
    17. 17)
      • Sim, K.: `Multiple view geometry and convex optimization', 2007, PhD, The Australian National University.
    18. 18)
      • S. Boyd , L. Vandenberghe . (2004) Convex optimization.
    19. 19)
      • R. Benosman , S.B. Kang . (2001) Panoramic vision: sensors, theory and applications.
    20. 20)
      • Astrom, K., Enquist, O., Olsson, C., Kahl, F.: `An ', Proc. Int. Conf. Computer Vision, 2007, p. 1–8.
    21. 21)
    22. 22)
      • Ke, Q., Kanade, T.: `Quasiconvex optimization for robust geometric reconstruction', Proc. Int. Conf. Computer Vision, 2005, Beijing, China, p. 986–993.
    23. 23)
    24. 24)
      • R. Hartley . (2003) Multiple view geometry in computer vision.
    25. 25)
    26. 26)
      • Y. Seo , H. Lee , S. Lee . (2009) Outlier removal by convex optimization for L-infinity approaches, Lect. Notes Comp. Sci..
    27. 27)
      • Baker, S., Datta, A., Kanade, T.: `Parameterizing homographies', Technical Report, 2006.
    28. 28)
    29. 29)
    30. 30)
      • H. Li . A practical algorithm for L-infinity triangulation with outliers. Proc. IEEE Conf. Computer Vision and Pattern Recognition , 1 - 8
    31. 31)
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