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Figure 40 shows the prediction error
of the three two-dimensional filters applied to three copies
of the synthetic test case.
In all three images,
the fault is delineated, but blurred.
In patches away from the fault,
the filters encounter and remove single plane wave events.
In the patches that straddle the discontinuity,
the filters encounter two plane wave volumes of distinct dip.
Since the filters are limited to the removal of a single plane wave,
each filter generates a large prediction error in those patches.
The three-dimensional vector-field format is, of course, unsuitable for
human interpretation. The next sections suggest various methods
that unify the vector field into a single scalar subsurface map.

**rayab3Doper
**

Figure 39
Three two-dimensional prediction-error filters.
Each of three copies of the synthetic test case
is filtered by one of the two-dimensional prediction-error filters of
Figure 39.
All three prediction-error volumes are zero,
if and only if the input image is a single plane-wave.

**zeroFoltXPef
**

Figure 40
Three 2-D prediction-error of synthetic image.
In all three volumes,
the prediction error delineates the fault.
The fault image is blurred, since
the local filter is limited to removing only a single plane wave perfectly.
The three-dimensional vector field is, of course, unsuitable for human
interpretation and, therefore,
requires further processing.

** Next:** Norm of residual
** Up:** Residual of three two-dimensional
** Previous:** Residual of three two-dimensional
Stanford Exploration Project

3/8/1999