• DocumentCode
    3072836
  • Title

    Abel inversion by Kalman filtering

  • Author

    Hansen, Eric W. ; Law, Pheih Lan

  • Author_Institution
    Dartmouth College, Hanover, NH, USA
  • Volume
    9
  • fYear
    1984
  • fDate
    30742
  • Firstpage
    512
  • Lastpage
    515
  • Abstract
    The Abel transform and its inverse appear in a wide variety of problems, where it is necessary to reconstruct an axisymmetric function from its line-integral projections. This paper is concerned with Abel inversion from noisy experimental data, and presents a recursive approach based on a state space model of the forward transform and a Kalman filter.
  • Keywords
    Density functional theory; Educational institutions; Equations; Filtering; Geometry; Kalman filters; Least squares methods; Optical noise; Recursive estimation; State estimation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '84.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1984.1172503
  • Filename
    1172503
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3072836