Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image

Table 2

Comprehensive denoising effects results for texture-rich metallographic images of an iron ball.

Denoising algorithm	Denoising effect
	PSNR	Correlation coefficients	Contrast	Correlation	Energy	Homogeneity
Noisy image	13.6872	0.9991	5.9118	0.2491	0.0197	0.4580
Bilateral filtering denoising	20.4845	0.9995	1.1200	0.8038	0.0787	0.7092
Wavelet denoising	16.5708	0.9994	2.1387	0.3910	0.0473	0.5833
NLMF denoising	21.0494	0.9996	1.2524	0.7150	0.0728	0.6822
FDM denoising	21.4826	0.9996	1.4365	0.6876	0.0688	0.6646
FDM denoising	21.5482	0.9997	1.4371	0.6646	0.0688	0.6608