Table 1.

Notations used in the paper.

V	Target volume	VC	Cropped target volume
A(I, L)	Atlas, I is atlas volume, L is atlas label	AC(IC, LC)	Cropped atlas
E	Edge volume of V	TC(VC, IC)	Transformation from IC to VC
T(V, I)	Transformation from I to V	LCR	Registered cropped label
L̂	Final label	${\text{MI}}_{\mathrm{i}}^{\mathrm{C}}({\mathrm{I}}_{\mathrm{i}}^{\text{CR}},{\mathrm{V}}^{\mathrm{C}})$	The mutual information between the ith registered cropped volume $I_i^{CR}$ and VC
LR	Registered atlas label