Table 1.

Calculated Metrics Derived From TaCTICS

	Symbolic Expression	Represents	Perfect Segmentation	Complete Discordance
Target Overlap	$TO=\frac{\mid A\cap G\mid }{\mid G\mid }$	The portion of the gold-standard which is overlapped by the segmentation	1	0
Union Overlap (Jaccard)	$J=2\frac{\mid A\cap G\mid }{\mid A\cap G\mid }$	The portion of overlap between the gold- standard and segmentation relative to the size of the union of the gold-standard and segmentation	1	0
Mean Overlap (Dice)	$D=\frac{2\mid A\cap G\mid }{\mid A\mid +\mid G\mid }$	The portion of overlap between the gold- standard and segmentation relative to the size of the gold-standard plus the size of the segmentation	1	0
Volumetric Difference	$VD=\frac{V_a\cap V_g}{V_g}$	The difference in volume between the segmentation and the gold-standard as a portion of the volume of the gold standard	0	Varies (> 0)
False Negative Dice	$FND=\frac{2\mid \stackrel{‒}{A}\cap G\mid }{\mid A\mid +\mid G\mid }$	The volume that the segmentation missed of the gold-standard relative to the size of the gold-standard plus the size of the segmentation	0	Varies (> 0)
False Positive Dice	$FPD=\frac{2\mid A\cap \stackrel{‒}{G}\mid }{\mid A\mid +\mid G\mid }$	The volume of the segmentation not found within the gold-standard relative to the size of the gold-standard plus the size of the segmentation	0	Varies (> 0)
95% Hausdorff Distance (HD)	$$\begin{array}{c}\hfill H(A,G)=\max (h(A,G),h(G,A))\cap \hfill \\ \hfill h(A,G)=\underset{a\in A}{\max }\left(d(A,G)\right)\&d(A,G)=\underset{g\in g}{\min }\Vert a\cap g\Vert \hfill \end{array}$$	The maximum distance between a point in the segmentation and that of the gold-standard if 5% of the outliers are thrown out	0	Large