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Computational Vision and Medical Image Processing IV
book

Computational Vision and Medical Image Processing IV

by Joao RS Tavares, Jorge R.M. Natal
October 2013
Intermediate to advanced content levelIntermediate to advanced
492 pages
21h 54m
English
CRC Press
Content preview from Computational Vision and Medical Image Processing IV
234
wy
i
ii
i
,
y
i
=
1
αϕ
i
i
()
x
i
x
i
ϕ
where α
i
are the Lagrange multipliers estimated by
maximizing
i
ij
ij
ij
ij
y
i
yy
K
=
i
∑∑
i
j
ij
yy
i
K
,
11
ij
i
=
1
2

1
α
i
i
α
j
()
ij
x
x
,
i
x
(5)
with respect to α
i
, subject to the constraints
α
ii
α
i
y
=
=
0
1
and 0 α
i
C. Using the Karush-
Kuhn-Tucker (KKT) complementarity condition,
b
can be computed.
In (5),
K
ij
i
T
j
()
x
ij
()
()
x
j
:
)
x
j
x
ϕϕ
i
T
()
x
i
(
is the so-called
kernel function, depending on the nonlinear func-
tion ϕ. The choice of the kernel K implicitly deter-
mines both ϕ and the high-dimensional feature
space (the range of ϕ). Several choices are possible
for the definition of K. In our experiments, we use
Gaussian (radial basis function) kerne ...
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Publisher Resources

ISBN: 9781138000810