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Beam angle optimization (BAO) largely determines the performance offixed-field intensity modulated radiation therapy (IMRT), and it is usuallyconsidered as non-convex optimization and an NP hard problem. In this work, BAOis reformulated into a highly efficient framework of standard quadraticoptimization. The maximum of beamlet intensities for each incident field as thesurrogate variable indicating whether one radiation field has been selected. Byconverting the function of maximum value in the objective into a set of linearconstraints, the problem is solved as standard quadratic optimization viareweighting l1-norm scheme. The performance of the proposed BAO has beenverified on a digital phantom and two patients. And the conclusion is drawn:the proposed convex optimization framework is able to find an optimal set ofbeam angles, leading to improved dose sparing on OARs in fixed-field IMRT.

A new standard quadratic optimization approach to beam angle optimization for fixed-field intensity modulated radiation therapy