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Table 1 Quantitative analysis of obtained results of FPMM and PMM for denoising the test case 1 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) 14.5313 20.0380 0.2617 644.5915
FPMM (α = 0.9, K = 100, iteration = 20) 23.4089 29.1101 0.7721 89.6835
PMM (K = 4, iteration = 20) 22.5107 28.1970 0.7148 100.4876
Noisy image (variance 0.05) 13.2799 17.5327 0.2599 1.1476e + 03
FPMM (α = 0.9, K = 100, iteration = 32) 20.9961 26.7036 0.5994 189.9814
PMM (K = 100, iteration = 32) 20.5716 25.8288 0.7525 169.9014
Noisy image (variance 0.09) 8.5878 13.6391 0.0980 2.81e + 03
FPMM (α = 0.9, K = 105, iteration = 50) 19.4164 25.1185 0.5634 231.1342
PMM (K = 100, iteration = 50) 19.1496 24.18522 0.5023 245.7101