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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
316 7
Restoration
As for the case of topmost row points, (169) implies that points on the leftmost
column should obey (164c).
Coming to the proof of the theorem, let us assume that the field is wide-
sense Markov; we then want to show that (166) is true. Note that from (160)
[(168) and (169) for points on the top and left boundary] each %{m
y
ri) is
orthogonal to
f(p,q)
for all
(p,q)eX
mn
.
Now ξ(/:,/) for any (kj) e X
mn
is a linear combination of f (/?, ^)'s in
X
mt
„.
Therefore, ξ(λ??, η) must be orthog-
onal to ξ(&,/) for all
(k,l)eX
mn
.
Since this must be true for every (m,n)
in the picture, it follows that
E{$(p,q)$(m,n)} = 0, ρ φ m or qφn
whic ...
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Publisher Resources

ISBN: 9780323139915