Each of these problems used a 2-D steering filter. Fomel (1999)
introduced a method to construct a 3-D steering filter.
Fomel
formed a 3-D steering filter operator by first
convolving two 2-D operators.
To obtain a minimum-phase filter
he performed spectral factorization for
each dip component (*p*_{x} , *p*_{y}) pair in the data, significantly
increasing the cost of constructing the operator.
In order for the resulting filter to spread information over
significant distances, a large number of filter coefficients must be used,
increasing the cost of each iteration.

In this paper I present an alternative construction method. I show how a 3-D steering filter can be produced by cascading two 2-D steering filters. The cascaded approach does not provide as accurate a dip discrimination as that in Fomel's approach but it does not require the expensive spectral factorization, and the resulting filters are much smaller and less expensive to apply. I show how this method can accurately characterize a large range of dips and that it is accurate enough for a wide class of applications. In addition, I apply it to a simple synthetic missing data problem with very encouraging results.

9/5/2000