Generalized likelihood ratio test: The similarity between patches is formulated as a hypoth-
esis test:
Hxxx
H
xx
Q
0
1
:
:,
PQ
==
≠
nulhypothesis
alternativehypothesis
P
(2.8)
where x
P
is deterministic or noise- free component of observer noisy patch, i.e., y
P
= x
P
⊙s
P
, where
s
P
is speckle term of noisy patch, and ⊙ denoted the element wise product. In Equation (2.8), the
null hypothesis H
0
indicates the similarity of patches, while the alternative hypothesis H
1
assumes
H
0
does not hold, i.e., the two patches are different. The generalized likelihood ratio test then
equals [49]:
δ
PQ
x
ff
ff
=
()
()
()
()
()
(
)
max
maxmax
(
((
,
yx
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