June 2014
Intermediate to advanced
576 pages
16h 43m
English
book
Image Analysis, Classification and Change Detection in Remote Sensing, 3rd Edition
by Morton J. Canty
Content preview from Image Analysis, Classification and Change Detection in Remote Sensing, 3rd Edition
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80 Image Statistics
and thus
I(X, Y ) = H(X) − H(X | Y ). (2.115)
Mutual information measures the degree of dependence between the two
images, a value of ze ro indicating statistical independence. This is to be con-
trasted with correlatio n, where a value of zero implies statistical independence
only for normally distributed q uantities; see Theorem 2.7.
In practice the images are quantized, so that if p
1
and p
2
are their nor-
malized histograms (i.e.,
P
i
p
1
(i) =
P
i
p
2
(i) = 1) and p
12
is the normalized
two-dimensional histogram,
P
ij
p
12
(i, j) = 1, then the mutua l information is
I(1, 2) = −
X
ij
p
12
(i, j)
log[p
1
(i)] + log[p
2
(j)] − log[p
12
(i, j)]
=
X
ij
p
12
(i, j)
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