A Total Variation Model Based on the Strictly Convex Modification for Image Denoising

Figure 1

Synthetic image (300×300). (a) Original image. (b) Noisy image corrupted by Gaussian noise for 𝜎=30. (c) Our algorithm by PMS; 𝜏=0.2 (262 steps). (d) Our algorithm by AOS scheme; 𝜏=3 (17 steps). (e) PM method; 𝐾=5 and 𝜏=0.25 (232 steps). (f) TV method; 𝜏=0.2 (203 steps). (g) D-𝛼-PM method; 𝜎₁=0.5, 𝜎=30, 𝜏=0.25, and 𝐾=1 (42 steps).

(a) Original image

(b) Noisy image

(c) Proposed model I (PMS)

(d) Proposed model I (AOS)

(e) PM model

(f) TV model

(g) D-𝛼-PM model