Fractional Partial Differential Equation: Fractional Total Variation and Fractional Steepest Descent Approach-Based Multiscale Denoising Model for Texture Image
Figure 3
Fractional differential masks , respectively, on the eight directions. (a) Fractional differential operator on -coordinate negative direction, noted as . (b) Fractional differential operator on -coordinate negative direction, noted as . (c) Fractional differential operator on -coordinate positive direction, noted as . (d) Fractional differential operator on -coordinate positive direction, noted as . (e) Fractional differential operator on left downward diagonal, noted as . (f) Fractional differential operator on right upward diagonal, noted as . (g) Fractional differential operator on left upward diagonal, noted as . (h) Fractional differential operator on right downward diagonal, noted as .