• DocumentCode
    301229
  • Title

    Regularisation of the limited data computed tomography problem via the boundary element method

  • Author

    Solo, Victor

  • Author_Institution
    Dept. of Stat., Macquarie Univ., North Ryde, NSW, Australia
  • Volume
    2
  • fYear
    1995
  • fDate
    23-26 Oct 1995
  • Firstpage
    430
  • Abstract
    We present a new variational approach to the problem of computed tomography reconstruction from sparse data. We use a Tikhonov regularisation (quite different from that of Louis [1985]) which deals without approximation with discrete or nonuniform grids. Our algorithm requires calculation of a Green´s function on a finite region and we show how this can be done very efficiently computationally using the numerical/analytic boundary element method (BEM)
  • Keywords
    Green´s function methods; boundary-elements methods; computerised tomography; signal reconstruction; tomography; variational techniques; Green´s function; Tikhonov regularisation; boundary element method; discrete grids; limited data computed tomography problem; nonuniform grid; reconstruction; variational approach; Algorithm design and analysis; Boundary element methods; Civil engineering; Computed tomography; Convolution; Distributed computing; Image processing; Inverse problems; Statistics; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing, 1995. Proceedings., International Conference on
  • Conference_Location
    Washington, DC
  • Print_ISBN
    0-8186-7310-9
  • Type

    conf

  • DOI
    10.1109/ICIP.1995.537507
  • Filename
    537507