• DocumentCode
    1252158
  • Title

    Partial Radon transforms

  • Author

    Zhi-Pei Liang ; Munson, D.C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL
  • Volume
    6
  • Issue
    10
  • fYear
    1997
  • fDate
    10/1/1997 12:00:00 AM
  • Firstpage
    1467
  • Lastpage
    1469
  • Abstract
    This article formally defines partial Radon transforms for functions of more than two dimensions. It shows that a generalized projection-slice theorem exists which connects planar and hyperplanar projections of a function to its Fourier transform. In addition, a general theoretical framework is provided for carrying out n-dimensional backprojection reconstruction in a multistage fashion through the use of the partial Radon transform
  • Keywords
    Fourier transforms; Radon transforms; image reconstruction; Fourier transform; backprojection reconstruction; generalized projection-slice theorem; hyperplanar projection; image reconstruction; multistage reconstruction; partial Radon transforms; planar projection; tomographic imaging; Fourier transforms; Image reconstruction; Magnetic resonance imaging; Terrorism; Tomography; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.624980
  • Filename
    624980