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THE ABEL‐FOURIER METHOD OF HANKEL TRANSFORMATION: APPLICATIONS TO SEISMIC DATA *
Author(s) -
WILSON C.R.
Publication year - 1986
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1986.tb00481.x
Subject(s) - seismogram , hankel transform , fourier transform , computation , hankel matrix , transformation (genetics) , offset (computer science) , fast fourier transform , mathematical analysis , mathematics , algorithm , geology , seismology , computer science , gene , programming language , biochemistry , chemistry
A bstract The formal equivalency between a Hankel transform and an Abel transform followed by a Fourier transform is used as a basis for the computation of synthetic seismograms and for performing plane‐wave decomposition of both synthetic and field seismograms. The Abel‐Fourier method performs better for near‐offset or small ray‐parameter, although at greater computational effort than calculations based upon the asymptotic Hankel transform.

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