Kernel-based methods:
Convolution/Superposition
( )
( ) (
)
∫
−
=
s rhsTsd rD
r r r
r
3
…
superposition
of all point kernels originating
around all possible points
s
primary photon source
Dose in point
r…
Simplest possible situation:
Monoenergetic incident photons,
Homogeneous medium
ESTRO IMRT course 2016
Dose Calculation in Static and Rotational IMRT
London April 7th, 2016
-28-
mathematically: 3D-
convolution integral
→
very efficient numerical implementation via
fast fourier transform!
BUT necessary condition: point kernel
independent of location (homogeneous
medium)
r
s