Optimal Terrain Construction Problems and Applications in Intensity-Modulated Radiation Therapy
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
Geometric algorithms for static leaf sequencing problems in radiation therapy
Proceedings of the nineteenth annual symposium on Computational geometry
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In this paper, we study an interesting intensity level reduction (ILR) problem, which is crucial for solving the "step-and-shoot" delivery planning problem in Intensity-Modulated Radiation Therapy (IMRT). IMRT aims to deliver a highly conformal radiation dose to a target tumor while sparing the surrounding normal tissues. Effective intensity level reduction approaches significantly reduce the patient's exposure under the radiation and improve the treatment efficiency. We propose a new intensity level reduction method for step-and-shoot delivery planning, and further model the intensity level reduction problem as computing a set of shortest monotone paths (SMPs) in certain specific geometric graphs, called multi-column graphs, of pseudo-polynomial sizes. Based on a judicious characterization of the intrinsic geometric structures of the graphs, we develop a novel graph pruning scheme and compute the SMPs without explicitly constructing the graphs, yielding an efficient O(mn logn) time algorithm for solving the intensity level reduction problem on an intensity map (specifying a radiation dose prescription) of size m x n.