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The operator aliasing problem, as opposed to data aliasing and image
aliasing, is discussed in detail by Lumley et
al. 1994. It arises when the slope of the
operator traveltime exceeds the limit, defined by the time and space
sampling of the data (the Nyquist frequencies)
Claerbout (1992a). Even if the input data are not aliased,
operator aliasing can cause severe distortions in the output. Several
successful techniques have been proposed in the literature to overcome
the operator aliasing problem. SEP' s favorite invention is local
triangle filtering
Bevc and Claerbout (1992, 1993); Bevc and Lumley (1994); Claerbout (1992a); Lumley et al. (1994),
which has been extensively tested on 2-D and 3-D migration, DMO
Blondel (1993), and wave-equation datuming
(). A different approach to antialiasing is
suggested by Hale 1991 for the integral dip
moveout. In this paper, we reformulate the main principle of Hale's
approach to design an efficient antialiasing technique, alternative to
triangle filtering.
Next: Triangle filters
Up: Fomel & Biondi: Azimuth
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Stanford Exploration Project
11/12/1997