Abstract
Within the confines of least-squares operations, it is possible to quantify the effect of the addition of treatment fields or beamlets to a treatment plan. Using linear algebra and eigenvalue perturbation theory, the effect of the increase in number of treatments is shown to be equivalent to adding a perturbation operator. The effect of adding additional fields will be negligible if the perturbation operator is small. The correspondence of this approach to an earlier work in beam-orientation optimization is also demonstrated. Results are presented for prostate, spinal and head and neck cases, and the connection to beam-orientation optimization is examined.
Original language | English (US) |
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Pages (from-to) | 3485-3501 |
Number of pages | 17 |
Journal | Physics in Medicine and Biology |
Volume | 47 |
Issue number | 19 |
DOIs | |
State | Published - Oct 7 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Radiological and Ultrasound Technology
- Radiology Nuclear Medicine and imaging