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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
20
2 Mathematical Preliminaries
For deterministic functions
f{x
y
y), \F(u, v)\
2
is
called
the
power spectrum.
We
see
that
the
power spectrum
is the
Fourier transform
of the
autocorrelation
function.
2.2 DISCRETE PICTURE TRANSFORMS
Let
a
matrix
[/]
represent
an Μ χ
TV
array
of
numbers:
/(0,0) /(0,1)
AO, Ν-I)
m =
L/(M-1,0)
/(A/-1,1) f(M-l
9
N-\)
(30)
Note that such
an
array
of
numbers could
be
obtained
by
sampling
a
picture
/(*, y) on a
grid
of Μ χ Ν
points, each number
in the
array representing
the
gray level
in the
picture
at the
corresponding sampling point.
A general discrete transform
of the Μ χ Ν
matrix
[/] is an Μ χ Ν
matrix
[F] defined
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Publisher Resources

ISBN: 9780323139915