Figure 5
Receiver Operating Characteristic (ROC) curves, and average Area Under ROC (\(\overline{{\textbf {AUROC}}}\)) curves for a range shift of \({0.5}\,\hbox {mm}\) and minimum detectable range shifts. The upper panel shows the ROC curves evaluated at a range shift magnitude of \({0.5}\,\hbox {mm}\) for the reconstructed FN and PG combined data-set. The middle panel shows the calculated \(\overline{AUROC}\) for the same data-set at the same range shift magnitude. The lower panel shows the minimum detectable range shifts as a function of the number of protons per spot. Note that ROCs are only plotted for proton intensities ranging from \(10^7\) protons/spot to \(10^8\) protons/spot whereas \(\overline{AUROC}\) and minimum \(\Delta R\) are plotted for proton intensities ranging from \(10^6\) protons/spot to \(10^8\) protons/spot. Each of these are shown for a NOVCoDA orientation of \(\theta = 0^{\circ }\) (a), \(\theta = 45^{\circ }\) (b) and \(\theta = 90 ^{\circ }\) (c), as well as the \(\theta = 90 ^{\circ }\) case with the estimated effects of time, energy, and position resolutions (and segmentation of a realistic detector) included in (d). The uncertainties in terms of one standard deviation are shown as bands around the \(\overline{AUROC}\) values.
