Algorithm 2.

Deformable Kalman multiatlas segmentation.

1:	for i = 0, 2,,… N − 1 do
2:	Compute the affine registration ${\alpha }_i^{+}(A_i)$ using Algorithm 1
3:	Register Ii ◦ Ai to I by minimizing NNC with respect to B-spline deformation field
4:	Record the final deformation field ψi and registration cost ci
5:	end for
6:	Sort ci’s so that cki ≤ cki+1 ∀i = 0, …, N − 2
7:	Define wki = exp(ck0 − cki)∀i = 0, …, N − 1 and normalize wi’s s.t. ${\sum }_{i=0}^{N-1}{w}_i=1$
8:	$P(x)={\sum }_{i=0}^{N-1}{w}_{k_i}{J}_{k_i}({\psi }_{k_i}(A_{k_i}(x)))$