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3-D object positioning from monocular image brightnesses

  • Tadayoshi Shioyama
  • Hai Yuan Wu
  • Wen Biao Jiang
  • Susumu Terauchi
Poster Session B: Active Vision, Motion, Shape, Stereo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1310)

Abstract

This paper proposes an estimation scheme for three-dimensional (3-D) object positioning from monocular image .brightnesses without point correspondences while previous 3-D positioning methods need point correspondences. In the present scheme, at the first step, 3-D shapes of object are recovered from image brightnesses before and after rotation motion. At the second step, two vectors which are transformed according to rotation matrix under 3-D rotation, are constructed from central moments of the recovered 3-D shapes of object before and after motion, respectively. At the third step, rotation matrix is computed from these vectors by singular value decomposition. At the fourth step, from the rotation matrix the rotation axis and the rotation angle around the axis are estimated.

Keywords

Rotation Angle Image Plane Spherical Harmonic Rotation Matrix Present Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [1]
    R.Y.Tsai and T.S.Huang,“Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved Surfaces,” IEEE Trans. Vol.PAMI-6, No.1 (1984) pp.13–27.Google Scholar
  2. [2]
    O.D.Faugeras and M.Hebert,“A 3-D Recognition and Positioning Algorithm Using Geometrical Matching between Primitive Surfaces,” Proc.8th Int.Joint Conf. Artificial Intell. (1983) pp.996–1002.Google Scholar
  3. [3]
    J.Weng, T.S.Huang and N.Ahuja,“Error Analysis of Motion Parameter Estimation from Image Sequences,” Proc.1st Int.Conf.Comput.Vision (1987)pp.703–707.Google Scholar
  4. [4]
    J. Philip,“Estimation of Three-Dimensional Motion of Rigid Objects from Noisy Observations,”IEEE Trans. Vol.PAMI-13,No.1 (1991)pp.61–66.Google Scholar
  5. [5]
    K.Kanatani,“Unbiased Estimation and Statistical Analysis of 3-D rigid Motion from Two Views,”IEEE Trans. Vol.PAMI-15,No.1 (1993) pp.37–50.Google Scholar
  6. [6]
    C.H.Lo and H.S.Don,“3-D Moment Forms:Their Construction and Application to Object Identification and Positioning,” IEEE Trans. Vol.PAMI-11,No.10 (1989)pp.1053–1064.Google Scholar
  7. [7]
    S.Umeyama,“Least-Squares Estimation of Transformation Parameters Between Two Point Patterns,”IEEE Trans. Vol. PAMI-13,No.4 (1991)pp.376–380.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Tadayoshi Shioyama
    • 1
  • Hai Yuan Wu
    • 1
  • Wen Biao Jiang
    • 1
  • Susumu Terauchi
    • 1
  1. 1.Department of Mechanical and System EngineeringKyoto Institute of TechnologyKyotoJapan

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