• DocumentCode
    1084599
  • Title

    Unification of the inverse radon transform in odd and even dimensions

  • Author

    Liang, Zhi-Pei

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
  • Volume
    14
  • Issue
    4
  • fYear
    1995
  • fDate
    12/1/1995 12:00:00 AM
  • Firstpage
    757
  • Lastpage
    758
  • Abstract
    It is well known that the inverse radon transform exists in two forms for odd and even dimension functions, respectively. This note shows that these formulas become zero when the dimension requirement is violated, which results in a simple unified formula for the inverse radon transform of arbitrary dimensions
  • Keywords
    Radon transforms; computerised tomography; inverse problems; tomography; dimension requirement; even dimensions; inverse radon transform; odd dimensions; projections; simple unified formula; tomographic imaging; Application software; Computed tomography; Computer architecture; Concurrent computing; Fourier transforms; Graphics; Mathematics; Multidimensional systems; Parallel processing; Space technology;
  • fLanguage
    English
  • Journal_Title
    Medical Imaging, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0278-0062
  • Type

    jour

  • DOI
    10.1109/42.476117
  • Filename
    476117