Table 1.

Mathematical notations used in the paper.

Variables	Meaning	Dimensions	Mapping
Ω	Mouse atlas volume	${\mathbb{R}}^3$
∂ Ω	Mouse atlas surface (continuous/discretized)	${\mathbb{R}}^3$
∂ P	Set of surface points (continuous/discretized)	${\mathbb{R}}^3$
Ŝ	Piola–Kirchhoff strain tensor		$\Omega \to {\mathbb{R}}^3$
Ĝ	Green–St Venant strain tensor		$\Omega \to {\mathbb{R}}^3$
S	Linearized Piola–Kirchhoff strain tensor		$\Omega \to {\mathbb{R}}^3$
G	Linearized Green–St Venant strain tensor		$\Omega \to {\mathbb{R}}^3$
u	Displacement field over the mouse body	$\Omega \to {\mathbb{R}}^3$
f	External force field over the mouse body	$\Omega \to {\mathbb{R}}^3$
U	Vector of displacements at the mesh nodes	${\mathbb{R}}^3\times N$
Uk	Displacements at the kth node in the mesh	${\mathbb{R}}^3$
L	Elastic energy		$(\Omega \to {\mathbb{R}}^3)\to \mathbb{R}$
Δ d	Discretized Laplacian operator		$(\Omega \to {\mathbb{R}}^3)\to (\Omega \to {\mathbb{R}}^3)$
Es	Surface energy		$(\partial \Omega \to {\mathbb{R}}^3)\to \mathbb{R}$
d	Asymmetric L2 pseudo-distance	$\mathbb{R}$
I	Identity operator		${\mathbb{R}}^3\to {\mathbb{R}}^3$
λ	Lameś constant (strain modulus)	$\mathbb{R}$
μ	Lameś constant (shear modulus)	$\mathbb{R}$
Y	Young's modulus	$\mathbb{R}$
ν	Poisson ratio	$\mathbb{R}$
N	Number of mesh nodes	$\mathbb{R}$
T	Number of tetrahedral faces	$\mathbb{R}$