• DocumentCode
    2186013
  • Title

    O(N2 log N) native fan-beam tomographic reconstruction

  • Author

    Xiao, Shu ; Bresler, Yoram ; Munson, David C., Jr.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    824
  • Lastpage
    827
  • Abstract
    We present a new fast backprojection algorithm for CT fan-beam reconstruction. The new algorithm operates directly on fan-beam data without prior rebinning to parallel-beam projections. The algorithm reduces the computational complexity from O(N3) for the traditional fan-beam algorithm to O(N2 log N). Simulations demonstrate speedups of greater than 50-fold for a 512 × 512 image, with no perceivable degradation in accuracy. The algorithm also applies to multi-slice helical 3D reconstruction, and extends to 3D cone-beam reconstruction.
  • Keywords
    computerised tomography; image reconstruction; medical image processing; 3D cone-beam reconstruction; CT; O(N2 log N) native algorithm; computational complexity reduction; fan-beam tomographic reconstruction; medical diagnostic imaging; multislice helical 3D reconstruction; parallel-beam projections; perceivable accuracy degradation; prior rebinning; Computational complexity; Computational efficiency; Computational modeling; Computed tomography; Degradation; Filtering; Geometry; Image quality; Image reconstruction; Interpolation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Biomedical Imaging, 2002. Proceedings. 2002 IEEE International Symposium on
  • Print_ISBN
    0-7803-7584-X
  • Type

    conf

  • DOI
    10.1109/ISBI.2002.1029386
  • Filename
    1029386