Table 1.

Geometrical confounds for corpus callosum shape analysis

Shape confound	Source	Symbol	Space
Translation	Head position/scanner	T	${\mathbb{R}}^3$
Scaling	Head volume/scanner	a	${\mathbb{R}}_{+}$
Rotation	Head position/scanner	$O\in {\mathbb{R}}^{2\times 2}$	SO(2)
Starting point/origin	Tracing/extraction	r∈[0,2π)	${\mathbb{S}}^1$
Reparameterization	Representation/tracing/extraction	γ∈[0,2π)	$\mathcal{D}$