Beam direction optimization is an important problem in radiation therapy. I
n intensity modulated radiation therapy (IMRT), the difficulty for computer
optimization of the beam directions arises from the fact that they are cou
pled with the intensity profiles of the incident beams. In order to obtain
the optimal incident beam directions using iterative or stochastic methods,
the beam profiles ought to be optimized after every change of beam configu
ration. In this paper we report an effective algorithm to optimize gantry a
ngles for IMRT. In our calculation the gantry angles and the beam profiles
(beamlet weights) were treated as two separate groups of variables. The gan
try angles were sampled according to a simulated annealing algorithm. For e
ach sampled beam configuration, beam profile calculation was done using a f
ast filtered backprojection (FBP) method. Simulated annealing was also used
for beam profile optimization to examine the performance of the FBP for be
am orientation optimization. Relative importance factors were incorporated
into the objective function to control the relative importance of the targe
t and the sensitive structures. Minimization of the objective function resu
lted in the best possible beam orientations and beam profiles judged by the
given objective function. The algorithm was applied to several model probl
ems and the results showed that the approach has potential for IMRT applica
tions. (C) 2000 American Association of Physicists in Medicine. [S0094-2405
(00)00806-3].