1600-1601 / 2953
Cost Functions can be Balanced by
Weight Factors: the Lagrange Function
0
,1
1
1
≥
=
=
∑
∑
=
=
j
M
j
j
M
j
j j
F
L
λ
λ
λ
Combine all goals
to one weighted sum:
…and minimize the Lagrange Function
L
.
ESTRO IMRT course 2016
IMRT optimization: algorithms&cost functions
London April 4th, 2016
-26-
Tuning the weight factors makes all solutions in Solution Space accessible.
Problem: find the right set of weights that produces a dose distribution
as minimizer of
L
which is
`
closest to the intended`
treatment.
j
λ
This is a decision to be made by the user,
not the software