K-Optimal Gradient Encoding Scheme for Fourth-Order Tensor-Based Diffusion Profile Imaging

Algorithm 1

Pseudoalgorithm to compute response surface of .

Data: Initial tensor , rotation matrices, number of Monte Carlo trials , SNR = , GES and .

Result: Response surface of

for    to    do

  Obtain (a rotated version of );

   for    to    do

    (i) Simulate the diffusion signal at the sampling points defined by the GES under evaluation using the

    Stejskal and Tanner [18] equation ;

    (ii) Add Rician distributed noise to the synthetic signal to obtain given SNR;

    (iii) Compute the diffusion tensor and the corresponding ;

  (iv) Record the mean signal deviation ();