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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
122
5 Compression
φ(0,Ν-\);
the
(7V+l)st component φ(1,0);
the
(N+2)nd component
φ(\,
1),...;
and
finally
the
N
2
th component
φ(Ν- \ ,N— 1). One now has a
framework
for
defining
the dot
product
of two
matrices.
By the
definition
of
dot product
in a
complex vector space,
the dot
product
of two Ν χ Ν
matrices
[φ]
and] is
equal
to
l>]
' [Π = Υ Y
<p(m,n)T*{m
9
n)
(17)
where
T*(m, ή) is the
complex conjugate
of the
element
T(m, ή) of the
matrix
[Γ].
Note that
the dot
product
of two
matrices
is a
single number, real
or
complex.
Going back
to (16), we
have
a set of
Ν
2
matrices
[<p
(M,l?)
].
These matrices
form
an
orthonormal
set
provided
§
(0,
u Φ r ...
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Publisher Resources

ISBN: 9780323139915