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Theory and Modern Applications

Table 2 Quantitative analysis of obtained results of FPMM and PMM for denoising the test case 2 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)

15.0030

20.4392

0.3417

587.7050

FPMM (α = 0.9, K = 90, iteration = 20)

20.1193

25.7335

0.6025

203.2346

PMM (K = 100, iteration = 20)

17.8155

23.3781

0.5845

190.7179

Noisy image (variance 0.03)

10.6852

15.8952

0.2126

1.67e + 03

FPMM (α = 0.9, K = 110, iteration = 42)

16.8226

22.4020

0.4141

419.4402

PMM (K = 100, iteration = 42)

16.3136

21.8572

0.3919

431.1948

Noisy image (variance 0.05)

8.8399

13.8739

0.1647

2.66e + 03

FPMM (α = 0.9, K = 110, iteration = 70)

14.8705

20.4323

0.3384

654.0687

PMM (K = 110, iteration = 70)

14.4288

19.9599

0.3143

668.8500