• DocumentCode
    1373408
  • Title

    A multilevel domain decomposition algorithm for fast O(N2logN) reprojection of tomographic images

  • Author

    Boag, Amir ; Bresler, Yoram ; Michielssen, Eric

  • Author_Institution
    Dept. of Electr. Eng.-Phys. Electron., Tel Aviv Univ., Israel
  • Volume
    9
  • Issue
    9
  • fYear
    2000
  • fDate
    9/1/2000 12:00:00 AM
  • Firstpage
    1573
  • Lastpage
    1582
  • Abstract
    A novel algorithm for fast computation of tomographic image projections is presented. The method comprises a decomposition of an image into subimages followed by an aggregation of projections computed for the subimages. The multilevel domain decomposition algorithm is formulated as a recursive procedure. The computational cost of the proposed algorithm is comparable to that of FFT-based techniques while it appears to be more flexible than the latter. Numerical results demonstrate the effectiveness of the method
  • Keywords
    computational complexity; computerised tomography; image reconstruction; interpolation; FFT-based techniques; algorithm; computational cost; fast computation; fast reprojection; image decomposition; interpolation; multilevel domain decomposition algorithm; recursive procedure; subimages; tomographic image projections; Computational efficiency; Computed tomography; Costs; Fourier transforms; Hardware; Helium; Image reconstruction; Iterative algorithms; Positron emission tomography; Reconstruction algorithms;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.862638
  • Filename
    862638