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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
7.6 Recursive Filtering
321
be considered to be the autocorrelations of one-dimensional wide-sense
Markov-/c
r
and Markov-/c
c
sequences^ respectively.
As was the case in (181), since LR
row
] and
[JR
co1
]
are positive definite,
unique invertible lower triangular [G
r
] and [GJ exist such that
[G
r
][K
row
][G
r
]'
= «[/]
and
[Gc][«
col
][G
c
]'
= /?[/] (183)
where the constants α and β are chosen such that the principal diagonals of
both [G
r
] and [G
c
] are unity.
If f is the N
2
-element vector generated by column scanning the image
matrix [f], and [R
ff
] its autocorrelation matrix, as defined in (50), then it
may be shown by substitution that (see Section 2.
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Publisher Resources

ISBN: 9780323139915