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

Algorithm 2

Proposed algorithm.

Initialize: 𝑢⁰=ℱ⁻¹𝑣,𝑑⁰=𝑏⁰=0,𝑘=0 and 𝜇,𝛾>0

while  𝑢^𝑘−𝑢^𝑘−1>𝑡𝑜𝑙  do

 Compute 𝑢^𝑘+1 based on (43)

 Compute 𝑑^𝑘+1 based on (44)

 Update 𝑏^𝑘 based on (45)

 𝑘=𝑘+1

end while