A new algorithm for optimal multileaf collimator field segmentation
Discrete Applied Mathematics
Discrete Applied Mathematics
Multiobjective Decomposition of Positive Integer Matrix: Application to Radiotherapy
EMO '09 Proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization
Optimal matrix-segmentation by rectangles
Discrete Applied Mathematics
A new algorithm for optimal multileaf collimator field segmentation
Discrete Applied Mathematics
Discrete Applied Mathematics
A closest vector problem arising in radiation therapy planning
Journal of Combinatorial Optimization
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In the treatment of cancer using high energetic radiation the problem arises how to irradiate the tumor without damaging the healthy tissue in the immediate vicinity. In order to do this as efficiently as possible intensity modulated radiation therapy (IMRT) is used. A modern way to modulate the homogeneous radiation field delivered by an external accelerator is to use a multileaf collimator in the static or in the dynamic mode. In this paper several aspects of the construction of optimal treatment plans are discussed and some algorithms for this task are described.