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In 2D we build our steering filters by creating a series of
dip annihilation filters that
that destroy a given slope p_{xz} in a xz plane.
Further, we would like to
control the bandwidth response of
filters oriented at different
slopes. We can achieve both these goals by constructing
a triangle centered at the appropriate slope.
Every grid
cell center which the triangle passes through is assigned a negative value
proportional to the height of the triangle at that location,
 
(1) 
where:

 is the filter coefficient at a given lag
(for lags where )
 a
 is the amplitude of the filter (ranging from 0 to 1)
 w
 is the width of the triangle
 p
 is the slope.
The wider the triangle base, the less anisotropic
our smoothing filter becomes. By increasing or
decreasing a,
we can increase or decrease the range
over which the smoothing filter operates.
Next: 3D extension
Up: Methodology
Previous: Methodology
Stanford Exploration Project
9/5/2000