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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
2.4
Random
Fields
43
The concept of homogeneous random fields is a generalization of one-
dimensional wide-sense stationary stochastic processes to higher dimensions.
In fact homogeneous random fields are also sometimes referred to as "wide-
sense stationary random processes or fields/'
2.4.4 Spectral Density
The spectral density S
ff
(u,v) of a homogeneous random field f(r) is the
Fourier transform of its autocorrelation
CO
S
ff
(u,v) = j j R
ff
((x,ß)expl-j2n(oa4 + ßv)]d(xdß (111a)
00
Similarly, the cross spectral density of two homogeneous random fields f and g
is the Fourier transform of their cross correlation
GO
S
fg
(u,v) = J*J R
fg
{a,ß)zxpl-j2n(au ...
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Publisher Resources

ISBN: 9780323139915