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Theory and Modern Applications

Table 3 Quantitative analysis of obtained results of FPMM and PMM for denoising the test case 3 with the Gaussian noise

From: A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising

 

SNR

PSNR

SSIM

MSE

Noisy image (variance 0.01)

15.2463

20.950

0.4278

636.1865

FPMM (α = 0.8, K = 90, iteration = 21)

20.7950

25.8404

0.7078

204.7152

PMM (K = 90, iteration = 21)

20.4959

25.4701

0.6501

195.3838

Noisy image (variance 0.03)

10.8789

15.5071

0.2445

1.80e + 03

FPMM (α = 0.8, K = 95, iteration = 37)

19.0699

24.1365

0.5789

303.7352

PMM (K = 95, iteration = 37)

18.7141

23.6894

0.5689

317.1837

Noisy image (variance 0.05)

9.0813

13.5449

0.1748

2.87e + 03

FPMM (α = 0.8, K = 110, iteration = 82)

17.7842

22.8075

0.4986

408.3009

PMM (K = 110, iteration = 82)

14.2662

19.2006

0.3647

734.4369