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Digital Picture Processing, 2nd Edition
book

Digital Picture Processing, 2nd Edition

by Azriel Rosenfeld, Avinash C. Kak
January 2014
Intermediate to advanced content levelIntermediate to advanced
435 pages
18h 42m
English
Morgan Kaufmann
Content preview from Digital Picture Processing, 2nd Edition
292 7 Restoration
By utilizing
the
property that Trace([P][ß])
=
Trace([ß][P]), this expres-
sion may
be
reduced
to a
more familiar form
as
follows:
e
2
=
Traced*,,]
- lR
ff
](lR
ff
] +
[A,,])" '[A,,]}
= Traced*,,]
-
iR
ff
]iR
ff
](LR
ff
]
+
[/?„])"'}
= Trace{(|*„]
-
[K,,][K,,]([Ä,,]
+
[«„])"+ [«„])
x ([*//]+ [Α„])
-1
}
= Trace{[K,,][Ä
vv
](l*//]
+
[A,,])"
1
}
(73)
which
is a
result originally derived
by
Pratt [79], although using
a
slightly
different approach.
It is clear from both (69) and (71) that for large data vectors, the generation
of the filter matrix can
be
difficult since the inversion
of a
large-order matrix
would
be
required.
In
some cases, however ...
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Publisher Resources

ISBN: 9780323139915