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Volume 31 Issue 10
Oct.  2005
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Journal of Beijing University of Aeronautics and Astronautics  > 2005  >  31(10): 1135-1139.
Yang Min, Lu Hongnian, Kong Fanqin, et al. Non-linear least square estimation of geometrical parameters for cone-beam three dimensional computed tomography[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(10): 1135-1139. (in Chinese)
Citation: Yang Min, Lu Hongnian, Kong Fanqin, et al. Non-linear least square estimation of geometrical parameters for cone-beam three dimensional computed tomography[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(10): 1135-1139. (in Chinese)
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Non-linear least square estimation of geometrical parameters for cone-beam three dimensional computed tomography

  • School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • Received Date: 05 Jul 2004
  • Publish Date: 31 Oct 2005
    Abstract
  • The accuracy of reconstructing geometrical parameters is precisely controlled in three-dimensional computed tomography. Because in practical X-ray imaging system, they can’t be measured through direct methods, how to ensure their accuracy becomes the spiny problem. The non-linear least square estimation of three-dimensional reconstructing geometrical parameters based onFeldkamp-type algorithm is introduced. According to the rule that the projection address of a particle in imaging space is as the same as the centroids of its projection. The parameters’ optimal value is estimated through calculating centroids of the measured projections of a point source (or an object close to a point source) and solving non-linear equation sets. Computer simulation proves that when the initial value of the parameters are close to their true value, the estimating results are satisfying and of good repetition. In addition, the parameters’ optimal value of the practical testing system estimated by this method is applied to image reconstruction, and the satisfying results are also obtained.

     

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    • References(1)
  • [1] Feldkamp L A, Davis L C, Kress J W. Practical cone-beam algorithm [J] Opt Soc Am Al, 1984. 612~619 [2] 张 冲.锥束投影三维CT图像重建方法研究 . 北京:清华大学工程物理系, 1991 Zhang Chong. Study of image reconstruction methods for 3-D cone-beam transmission CT system .Beijing:Department of Engineering Physics, Tsinghua University, 1991(in Chinese) [3] 王召巴. 旋转中心偏移对CT重建图像质量的影响[J] 兵工学报,2001,22(3):323~326 Wang Zhaoba. Effect of center deviation on CT reconstruction images[J] Acta Armamentarii,2001,22(3):323~326(in Chinese) [4] Marquard D W. An algorithm for least squares estimation of non-linear least squares[J] SIAM,1963,2:431~441 [5] Gullberg G T. Estimation of geometrical parameters for fan beam tomography[J] Phys Med Biol, 1987, 32(12):1581~1594
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