대한전기학회논문지:시스템및제어부문D (The Transactions of the Korean Institute of Electrical Engineers D)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

Epipolar 기하학을 이용한 2차원 투영 데이터의 3차원 표현에 관한 연구

A Study on the 3D Representation of 2D Projection Data using Epipolar Geometry

  • 발행 : 2002.05.01
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초록

In this paper, the epipolar geometry, genera17y used as a pin-hole camera model, is newly adapted to our proposed method that enables the affine reconstruction of the 3D object from two projected views. The proposed method models the projective projection of inherent X-ray imaging system, obviates the need to attach artifirially constructed material on the body, and requires none of the prior-knowledge regarding to intrinsic and extrinsic parameters of two X-ray imaging systems. The optimum numerical solution is obtained by applying the least mean square estimator to corresponding points on two projected X-ray planes. The performance of this proposed method is Quantitatively analyzed using computer synthesized model of Cochlear implantation electrodes. In simulated experiments, the propnsed method is insensitive to the added random noise, the scaling factor change, the center point change, and rotational angular change between two projection planes, as well as enables the stable 3D reconstruction in least square sense even in worst testing cases.

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참고문헌

  1. D. C. Kelsall, J. K. Shallop, T. G. Brammerier, and E.C.Prenger, 'Facial nerve stimulation after Nucleus 22-channel cochlear implantation,' The American J. of Otology, vol.18, pp.336-341, 1997
  2. D.Thompson, and J.Mundy, 'Three-dimensional model matching from an unconstraint viewpoint,' Proc. Int. Conf. on Robotics and Automation, pp.208-220, 1987 https://doi.org/10.1109/ROBOT.1987.1088004
  3. G.Wang et. al., 'Digital X-ray streophotogrammetry for cochlear implantation,' IEEE trans. on Biomed. Eng., Vol. 47, No.8, pp.1120-1130, 2000 https://doi.org/10.1109/10.855941
  4. H.Longuet- Higgins, 'A computer algorithm for reconstructing a scene from tow projections, Nature, Vol. 293, pp.133-135, 1981 https://doi.org/10.1038/293133a0
  5. J.B.A. Maintz, and M.A.Viergever, 'A survey of medical image registration,' Medical Image Analysis, Vol.2, No.1, pp.1-37, 1998 https://doi.org/10.1016/S1361-8415(01)80026-8
  6. J.W.Peiffer, and D.N.Ku, 'Computer modeling of the abdominal aorta using magnetic resonance images,' Annals of Biomed. Eng., Vol.21, pp.237-245, 1993 https://doi.org/10.1007/BF02368179
  7. R. A. Robb : Three-dimensional biomedical imaging, VCH Publishers, 1995
  8. S. K. Yoo, G. Wang, J. T. Rubinstein, M. W. Skinner, M.W.Vannier, 'Three-dimensional modeling and visualization of the Cochlea on the internet,' IEEE trans. on Info. Tech. in Biomed., Vol. 4, No.2, pp.144-151, 2000 https://doi.org/10.1109/4233.845207
  9. Z.Zhang, and G. Xu, 'A general expression of the fundamental matrix for both perspective and affine cameras,' Proc. of 15 th Int. Joint Conf. on Artificial Intelligence, 1997
  10. Z.Zhang, R.Deriche, O.Faugeras, and Q-.-T.Luong, 'A robust technique for matching two uncalibrated images through the recovery of the unknown epipolar geometry,' Artificial Intelligence Journal, Vol.78, pp.87-119, 1995 https://doi.org/10.1016/0004-3702(95)00022-4