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Efficient Algorithms for Determining 3-D Bi-Plane Imaging Geometry

Author

Listed:
  • Jinhui Xu

    (State University of New York at Buffalo)

  • Guang Xu

    (State University of New York at Buffalo)

  • Zhenming Chen

    (State University of New York at Buffalo)

  • Vikas Singh

    (State University of New York at Buffalo)

  • Kenneth R. Hoffmann

    (State University of New York at Buffalo)

Abstract

Biplane projection imaging is one of the primary methods for imaging and visualizing the cardiovascular system in medicine. A key problem in such a technique is to determine the imaging geometry (i.e., the relative rotation and translation) of two projections so that the 3-D structure can be accurately reconstructed. Based on interesting observations and efficient geometric techniques, we present in this paper new algorithmic solutions for this problem. Comparing with existing optimization-based approaches, our techniques yield better accuracy and have bounded execution time, thus is more suitable for on-line applications. Our techniques can easily detect outliers to further improve the accuracy.

Suggested Citation

  • Jinhui Xu & Guang Xu & Zhenming Chen & Vikas Singh & Kenneth R. Hoffmann, 2005. "Efficient Algorithms for Determining 3-D Bi-Plane Imaging Geometry," Journal of Combinatorial Optimization, Springer, vol. 10(2), pages 113-132, September.
    • Handle: RePEc:spr:jcomop:v:10:y:2005:i:2:d:10.1007_s10878-005-2266-x
    DOI: 10.1007/s10878-005-2266-x
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