Normalize Cut in Matrix Form
); D(i,j) = 0
,
(
)
,
(
:
i
node
from
costs
of
sum
the
is
;
)
,
(
:
matrix
cost
the
is
,
j
i
i
i
c
j
i
j
j
i
=
=
ĺ
W
D
D
W
W
Can write normalized cut as:
•Solution given by “generalized” eigenvalue problem:
•Solved by converting to standard eigenvalue problem:
•optimal solution corresponds to second smallest
eigenvector
•for more details, see
–J. Shi and J. Malik,
