779 / 1228
Inverse Optimisation and Planning
(2000 – today)
Objectives and Objective Functions:
The selected and defined Dose-Volume parameters, usually D
V
, for the
inverse optimisation process define the
Objectives
of the optimisation.
The measure of how well these values are achieved defines the
“Metrics” – the
Objective Functions
of the optimisation methodology
(algorithm).
A natural measure quantifying the similarity of a dose distribution at N
sampling points with dose values d
i
to the corresponding desired dose
values d
i
* is a distance measure. A common measure is the
L
p
norm:
(
)
1
1
*
i
p
p
N
i
p
i
d d
L
−
=
∑
=
For
p
= 2, i.e. L
2
we have the Euclidean distance.