(1) | ||

(2) |

Figure is a generalization of
Figure .
The red (darker in gray scale) dots are the same as in
Figure ,
and represent the mapping into angle domain with
degrees,
and
degrees.
The green (lighter in gray scale) is the mapping
when the azimuthal range is broader close to normal incidence,
that is with
degrees,
and
degrees,
and *p*=3.
Notice that the integration domain represented
by the green dots (lighter in gray scale) does not
shrink close to the origin,
as the original integration domain does.

Figure shows the effect of the
variable azimuthal range on the synthetic data set.
Figure b shows the same
ADCIG as in
Figure b.
The azimuthal range was constant over ;that is
degrees,
and
degrees.
Figure a shows the ADCIG extracted
at the same location as the one in
Figure b,
but
obtained with variable azimuthal range.
The parameters were
degrees,
degrees,
degrees,
degrees,
and *p*=3.
The reduction in the azimuthal range attenuates the numerical
noise in the image.
In particular, it attenuates the ``frowning''
artifacts that, as I discussed in the previous section,
are related to the narrow azimuthal coverage of the data.

Figure shows a depth slice extracted from the image at the same depth as the slices shown in Figures -, but with the variable azimuthal range defined by the parameters listed above. The comparison of Figure with Figure demonstrates that the window defined using the relationships (1) and (2) preserves the coherent energy of the event, while removing noise.

kh_plane_wide
Graphical representation of the effects of the
variable azimuthal range on the mapping
from the offset wavenumber
plane
into the plane.
The green (lighter in gray scale) dots
correspond to the mapping
with variable azimuthal range.
Figure 9 |

cig-3-data6
ADCIGs for a synthetic data set.
Left: Image obtained
after application of both the angular dependent weighting
and the variable azimuthal range.
Right: Image obtained after application of the angular dependent weighting.
Figure 10 |

zaz-60-60-dense-all-jac-bound-v3-data6
Depth slice taken at the same depth as the slice
shown in Figure
(z=1,1140 meters),
after application of both the angular dependent weighting
and the variable azimuthal range.
Figure 11 |

10/14/2003