On convergence of the optimization process in Radiotherapy treatment planning

Details On convergence of the optimization process in Radiotherapy treatment planning On convergence of the optimization process in Radiotherapy treatment planning

2008-11-29

arxiv.org/abs/0812.0083v1

Mathematics

Classical Analysis and ODEs

9 pages, 2 figures

Scientific paper

The Radiotherapy treatment planning optimization process based on a quasi-Newton algorithm with an object function containing dose-volume constraints is not guaranteed to converge when the dose value in the dose-volume constraint is a critical value of the dose distribution. This is caused by finite differentiability of the dose-volume histogram at such values. A closer look near such values reveals that convergence is most likely not at stake, but it might be slowed down.

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