A New and Fast Multiphase Image Segmentation Model for Color Images

Algorithm 1

1: Input 𝑢₀ and 𝜙⁰₁, 𝜙⁰₂

2: Compute initial Ω_𝑖 and 𝑐 by (2.5) and  (2.11)

3: while ‖𝜙₁^𝑘+1−𝜙^𝑘₁‖>𝜖 or ‖𝜙₂^𝑘+1−𝜙^𝑘₂‖>𝜖 do

4: Define 𝑟^𝑘₁, 𝑟^𝑘₂ by  (2.8)

5: Update 𝜙₁^𝑘+1, 𝜙₂^𝑘+1 and 𝑑₁^𝑘+1, 𝑑₁^𝑘+1 by (2.20) and  (2.21)

6: Update 𝑏_𝑙^𝑘+1=𝑏_𝑙^𝑘+∇𝜙_𝑙^𝑘+1−𝑑_𝑙^𝑘+1 (𝑙=1,2)

7: Update Ω_𝑖 and 𝑐 by (2.5) and  (2.11)

8: end while