Image Restoration Based on the Hybrid Total-Variation-Type Model

Table 1

The related results in Example 4.7.

𝑔=0	The ROF model
	Stopping	ADMM			PPM
Size	Conditions 𝜀	Time (s)	Ite.	SNR	Time (s)	Ite.	SNR
128×128	1.0×10^−4	0.2184	86	24.7949	0.1248	83	24.7043
256×256	1.0×10^−4	0.9204	77	16.2934	0.2652	38	16.3540
512×512	1.0×10^−4	4.3368	64	15.7146	1.9656	53	15.9353
𝑔=1	The LLT model
	Stopping	ADMM			PPM
Size	Conditions 𝜀	Time (s)	Ite.	SNR	Time (s)	Ite.	SNR
128×128	1.0×10^−4	0.4368	60	24.5688	0.3432	80	25.0287
256×256	1.0×10^−4	1.7004	55	16.9065	0.9360	53	16.9083
512×512	1.0×10^−4	15.4441	55	15.9432	7.2384	50	15.9512
𝑔∈(0,1)	The hybrid model
	Stopping	ADMM			PPM
Size	Conditions 𝜀	Time (s)	Ite.	SNR	Time (s)	Ite.	SNR
128×128	1.0×10^−4	0.7176	69	25.7224	0.5304	70	25.4982
256×256	1.0×10^−4	2.5584	55	16.9699	1.4664	52	16.9701
512×512	1.0×10^−4	19.6561	56	15.9503	9.3445	50	15.9512