Convex Image Segmentation Model Based on Local and Global Intensity Fitting Energy and Split Bregman Method

Algorithm 1

(1) while ‖𝜙^𝑘+1−𝜙^𝑘‖>𝜀 do

(2) Define 𝑟^𝑘=−(𝐹^𝑘1+𝐹^𝑘2)

(3)𝜙^𝑘+1=𝐺𝑆(𝑟^𝑘,𝑑^𝑘,𝑏^𝑘,𝜆)

(4)𝑑^𝑘+1=shrink_𝑔𝑏^𝑘+∇𝜙^𝑘+1,1𝜆

(5)𝑏^𝑘+1=𝑏^𝑘+∇𝜙^𝑘+1−𝑑^𝑘+1

(6) Find Ω^𝑘1={𝐱∶𝜙^𝑘(𝐱)>𝛼}

(7) Update 𝐹^𝑘1 and 𝐹^𝑘2

(8) end while