Image Processing Reference
In-Depth Information
Fig. 8.5 Plots of Bhattacharyya coefficient between the resultant image from the fusion of entire
data and the resultant images for various values of
for the urban and the moffett 2 data using
the bilateral filtering-based fusion technique over the subsets selected using the output-based band
selection scheme
for the output-based band selection scheme
can be provided by Eq. ( 8.3 ) which is quite similar to the requirement for the input-
based band selection scheme discussed in Chap. 4 .
The computational requirement W
(κ) = γ B(κ) +
c E ,
, and c E denotes
the amount of computation for the evaluation of conditional entropies of the succes-
sive image bands. The
is the number of bands selected for a given threshold
factor represents the proportionality factor to account for
computational requirements of a chosen fusion technique. The only difference lies in
the fact that an intermediate fusion has been carried out first before the computation
of the conditional entropies, unlike in the input-based scheme wherein fusion fol-
lows the entropy computation. This inherently assumes that one uses an incremental
fusion technique for the output-based scheme. The incremental fusion makes use
of the resultant of the previous intermediate fusion for carrying out the next fusion
process. Thus, if F
is the intermediate fused image from fusion of upto
bands from the data using the fusion technique
(the actual number of bands being
fused might be much less than
), and I k be
the next input band to be selected for fusion, then the output of the fusion, i.e., F k ,is
obtained as F k F(
depending upon the values of
. Unfortunately, the incremental fusion methods may
suffer from numerical inaccuracies, and one may have to recompute the fusion of all
selected bands after every additional selection of a band. In this scenario, the compu-
tation increases after every selected band and one may not have any computational
advantage over the normal scheme of fusion of all bands.
F k 1 ,
I k )
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