Algorithm 2.

Smoothing voxel B along one dimension

Require: ωA, ωB, ωC (Orientations), WAB, WBC (Weights), cutoff (Cutoff Threshold)

for all ${\mathit{\omega }}_i^B\in {\mathit{\omega }}^B$ do

${\alpha }_j=\frac{w_{ji}^{AB}}{{\sum }_j{w}_{ji}^{AB}}$

${\beta }_j=\frac{w_{ji}^{BC}}{{\sum }_j{w}_{ij}^{BC}}$

${\alpha }_j=0\text{if}\mid \langle {\mathit{\omega }}_j^A,{\mathit{\omega }}_i^B\rangle \mid <\text{cutoff}$

${\beta }_j=0\text{if}\mid \langle {\mathit{\omega }}_j^C,{\mathit{\omega }}_i^B\rangle \mid <\text{cutoff}$

γ = [α1, …, αN, 2, β1, …, βN]⊤

$\mathit{\xi }={\left[{\mathit{\omega }}^A,{\mathit{\omega }}_i^B,{\mathit{\omega }}^C\right]}^{\top }$

${{}^{\text{new}}\mathit{\omega }}_i^B=\text{weightedAverage}(\mathit{\xi },\mathit{\gamma },{\mathit{\omega }}_i^B)$

end for

return newωB