Research Article

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

Table 1

Denoising effect for composite one-dimensional signal that combined rectangle wave, sine wave, and sawtooth wave.

Denoising algorithmDenoising effect
PSNRcorrelation Coefficients

Noisy signal25.24860.9951
Gaussian denoising26.96110.9953
Fourth-order TV denoising28.25890.9959
Bilateral filtering denoising35.02470.9990
Contourlet denoising28.29450.9959
Wavelet denoising32.15650.9975
NLMF denoising33.30880.9976
Fractional-order anisotropic Diffusion denoising29.86920.9975
FDM denoising39.04340.9996