MR Image Reconstruction Based on Iterative Split Bregman Algorithm and Nonlocal Total Variation

Algorithm 1

Generalized Split Bregman algorithm.

while  𝑢^𝑘−𝑢^𝑘−1₂>𝑡𝑜𝑙  do

 for  𝑛=1 to 𝑁  do

  𝑢^𝑘+1=min_𝑢𝐿(𝑢)+𝜇2𝑑^𝑘−Φ(𝑢)−𝑣^𝑘2₂

  𝑑^𝑘+1=min_𝑑|𝑑|+𝜇2𝑑−Φ𝑢^𝑘+1−𝑣^𝑘2₂

 end for

 𝑣^𝑘+1=𝑣^𝑘+Φ𝑢^𝑘+1−𝑑^𝑘+1

end while