Research Article

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 .
483791.fig.003a
(a)
483791.fig.003b
(b)
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(c)
483791.fig.003d
(d)
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(e)
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(f)
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(g)
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(h)