Regularized Fractional Power Parameters for Image Denoising Based on Convex Solution of Fractional Heat Equation

Table 1

PSNR of denoised images with different Gaussian noise values.

PSNR	Noisy image	Gaussian smoothing	Wiener filter	FHD
Image	Grayscale “Lena”
𝜎=15	24.65	28.25	29.87	31.72
𝜎=20	22.15	25.92	29.62	30.03
𝜎=25	20.25	24.02	27.65	28.59
Image	Grayscale “Taj”
𝜎=15	24.81	28.43	30.28	30.35
𝜎=20	22.35	26.01	28.78	29.04
𝜎=25	20.48	24.16	27.24	27.85
Image	Grayscale “Boat”
𝜎=15	24.67	28.36	30.77	31.20
𝜎=20	22.20	25.93	28.40	29.70
𝜎=25	20.30	24.03	27.56	28.40
Image	Color “Pepper”
𝜎=15	24.79	28.51	28.57	28.88
𝜎=20	22.36	26.08	27.72	27.99
𝜎=25	20.48	24.17	26.79	27.06
Image	Color “House”
𝜎=15	24.68	28.34	30.63	31.18
𝜎=20	22.21	25.92	29.98	29.73
𝜎=25	20.32	24.02	28.24	28.36