Wa. Sandham et al., CONFORMAL THERAPY USING MAXIMUM-ENTROPY OPTIMIZATION, International journal of imaging systems and technology, 6(1), 1995, pp. 80-90
Conformal therapy offers considerable advantages over conventional rad
iotherapy treatment, because it has the potential for matching almost
exactly the delivered dose distribution to the prescribed dose distrib
ution. Associated (inverse) treatment planning methods address a const
rained linear optimization problem. In this article, a method based on
maximizing the total entropy of the beam profiles is developed. Maxim
um entropy optimization constrains the computed dose to be within well
-defined tolerances of the prescribed dose, and has advantages of robu
stness, fast convergence, and high accuracy. For the work reported her
e, it is assessed using clinically prescribed irregular target dose vo
lumes based on magnetic resonance imaging and computed tomography imag
es. Results are shown for a two-dimensional, homogeneous absorption, p
rimary dose computation model, to illustrate the feasibility of the ap
proach; however, the method may be extended to accommodate a more gene
ral three-dimensional model, including inhomogeneities and scatter dos
e contributions. Optimization of beam offset for a regular angular dis
placement of beams is also considered, with particular regard to impli
cations on total beam energy, entropy, and computation time. (C) 1995
John Wiley and Sons, Inc.