On convergence of the optimization process in Radiotherapy treatment planning
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2008
- DOI:
- 10.48550/arXiv.0812.0083
- arXiv:
- arXiv:0812.0083
- Bibcode:
- 2008arXiv0812.0083H
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Mathematics - Optimization and Control;
- Physics - Medical Physics
- E-Print:
- 9 pages, 2 figures