1887
Volume 38 Number 8
  • E-ISSN: 1365-2478

Abstract

A

A fast algorithm is presented for numerical evaluation of forward and inverse Radon transforms. The algorithm does not perform exact one‐to‐one mapping as the discrete Fourier transform but, due to the use of band‐limited basis functions, it is robust and sufficiently accurate for seismic applications. By rewriting the transform as a convolution, a computational speed is obtained similar to the speed of the 2D fast Fourier transform.

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2006-04-27
2020-04-05
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References

  1. Beylkin, G.1987. Discrete Radon transform. IEEE Transactions on Acoustics, Speech, and Signal ProcessingASSP‐35, 162–172.
    [Google Scholar]
  2. Bluestein, L.I.1970. A linear filtering approach to the computation of the discrete Fourier transform. IEEE Transactions on Audio- and Electroacoustics18, 451–456.
    [Google Scholar]
  3. Diebold, J.B. and Stoffa, P.M.1981. The traveltime equation, tau ‐ p mapping and inversion of common midpoint data. Geophysics46, 238–254.
    [Google Scholar]
  4. Durani, T.S. and Bisset, D.1984, The Radon transform and its properties. Geophysics49, 1180–1187.
    [Google Scholar]
  5. Kennett, B.L.N.1981. Slowness techniques in seismic interpretation. Journal of Geophysical Research86, 11, 575–584.
    [Google Scholar]
  6. Oppenheim, A.V. and Schafer, R.1975. Digital Signal Processing. Prentice‐Hall Inc.
    [Google Scholar]
  7. Radon, J.1917. Über die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten. Berichte Sächsische Akademie der Wissenschaften69, 262–277.
    [Google Scholar]
  8. Tatham, R., Keeney, J.W. and Noponen, I.1982, Application of the tau‐p transform (slant stack) in processing seismic reflection data. 52nd SEG meeting, Dallas , U.S.A. , Expanded Abstracts, 3–4.
    [Google Scholar]
  9. Wade, C.J. and Gardner, G.F.H.1988. Slant‐stack inversion by hyperbolae extraction in the Fourier domain. 58th SEG meeting, Anaheim , U.S.A . Expanded Abstracts, 676–679.
    [Google Scholar]
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