Table 2 The calculation steps of combined uncertainty of XLTS.

From: Target margin design for real-time lung tumor tracking stereotactic body radiation therapy using CyberKnife Xsight Lung Tracking System

 

\({U}_{S}\)

\({U}_{D}\)

\({U}_{C}\)

\({U}_{P}\)

\({U}_{T}\)

Uncertainty estimated type B

Segmentation uncertainty

Deformation uncertainty

Correlation uncertainty

Prediction uncertainty

Targeting uncertainty

Standard uncertainty (assuming normal pdf)

SU Segmenation  = U S /2

SU Deformation  = U D /2

SU Correlation  = U C /2

SU Prediction  = U P /2

SU Targeting  = U T /2

Combined standard uncertainty

\(S{U}_{Combined}=\sqrt{S{U}_{Segmentation}^{2}+S{U}_{Deformation}^{2}+S{U}_{Correlation}^{2}+S{U}_{Prediction}^{2}+S{U}_{Targeting}^{2}}\)

Expanded uncertainty (k = 2, assuming normal pdf)

\({U}_{Combined}=2\cdot S{U}_{Combined}=\sqrt{{U}_{S}^{2}+{U}_{D}^{2}+{U}_{C}^{2}+{U}_{P}^{2}+{U}_{T}^{2}}\)