Article citationsMore>>
Smitsmans, M.H., de Bois, J., Sonke, J.J., Betgen, A., Zijp, L.J., Jaffray, D.A., Lebesque, J.V. and van Herk, M. (2005) Automatic Prostate Localization on Cone-Beam CT Scans for High Precision Image-Guided Radiotherapy. International Journal of Radiation Oncology Biology Physics, 63, 975-984.
https://doi.org/10.1016/j.ijrobp.2005.07.973
has been cited by the following article:
-
TITLE:
A Radiotherapy Treatment Margin Formula When Systematic Positioning Errors are Relatively Small Compared to Random Positioning Errors: A First-Order Approximation
AUTHORS:
Kiyoshi Yoda
KEYWORDS:
Treatment Margin, Systematic Positioning Errors, Random Positioning Errors
JOURNAL NAME:
International Journal of Medical Physics, Clinical Engineering and Radiation Oncology,
Vol.6 No.2,
May
23,
2017
ABSTRACT: A
radiotherapy treatment margin formula has been analytically derived when a
standard deviation (SD) of systematic positioning errors Ʃ is
relatively small compared to an SD of random positioning errors σ.
The margin formula for 0 ≤ Ʃ ≤ σ was calculated by linearly interpolating two boundaries at
Ʃ = 0 and Ʃ = σ, assuming that the van Herk margin
approximation of k1Ʃ +
k2σ is valid at Ʃ
= σ. It was shown that a margin formula for 0 ≤ Ʃ ≤ σ may be approximated
by k1σ +
k2Ʃ, leading to a more
general form of k1
max(Ʃ,σ) + k2
min(Ʃ,σ) which is a piecewise linear approximation for any
values of Ʃ and σ.
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