Algorithm 1.

The particle filter based tractography algorithm.

foreach Seed Point do

Compute p(So) as described in §3.2;

t ← 1;

while (G)FA > threshold and current tract position is inside brain mask do

for i = 1 to K do

$S_t^{\left(i\right)}\leftarrow S_{t-1}^{\left(i\right)}+n_t$;

Compute ${\omega }_t^{\left(i\right)}$ using (2), as described in §3.2;

${\tilde{\omega }}_t^{\left(i\right)}\leftarrow {\omega }_t^{\left(i\right)}∕{\sum }_i^K{\omega }_t^{\left(i\right)}$;

${\tilde{\omega }}_t^{MAP}\leftarrow {\max }_i\left({\tilde{\omega }}_t^{\left(i\right)}\right)$;

Perform local tractography using $S_t^{MAP}$, as described in §3.3;

Perform particle resampling [12];

t ← t + 1;