Robust Tensor Splines for Approximation of Diffusion Tensor MRI Data

. Author manuscript; available in PMC: 2010 May 7.

Published in final edited form as: Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit. 2006 Jun 17;2006:86. doi: 10.1109/CVPRW.2006.179

input : c₁, …, c_N ∈ P(n)

w₁, …, w_N weights

output: μ ∈ P(n), the weighted mean

μ₀ ← I ;

i ← 0 ;

while ‖ X_i ‖ > e do

X_i ← −∇_{μ_i} ρ;

μ_i+1 ← Exp_{μ_i} (X_i) ;

end