||Solution steering with space-variant filters||
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Published as SEP report, 95, 27-42 (1997)
Solution steering with space-variant filters
Most geophysical problem require some type of regularization.
Unfortunately most regularization schemes produce ``smeared'' results
that are often undesirable when applying other criteria (such as geologic
By forming regularization operators in terms of
recursive steering filters, built from a priori information sources,
we can efficiently guide the solution towards
a more appealing form. The steering
methodology proves effective in interpolating
low frequency functions, such as velocity,
but performs poorly when encountering multiple
dips and high frequency data. Preliminary results using steering filters for
regularization in tomography problems are encouraging.