The Restoration of Textured Images Using Fractional-Order Regularization

Table 1

Operator of 𝑥-direction: 𝐺^𝑣_𝑥𝐱.

(a)

⋮	⋮	⋮		⋮		⋮	⋮	⋮
0	0	0	⋯	0	⋮	0	0	0
𝐶𝑠−1	𝐶𝑠0	𝐶𝑠1	⋯	𝐶𝑠𝑘	⋯	𝐶𝑠𝑛−2	𝐶𝑠𝑛−1	𝐶𝑠𝑛
0	0	0	⋯	0	⋮	0	0	0
⋮	⋮	⋮		⋮		⋮	⋮	⋮

(b)

⋮	⋮	⋮		⋮		⋮	⋮	⋮
0	0	0	⋯	0	⋮	0	0	0
𝐶𝑠𝑛	𝐶𝑠𝑛−1	𝐶𝑠𝑛−2	⋯	𝐶𝑠𝑘	⋯	𝐶𝑠1	𝐶𝑠0	𝐶𝑠−1
0	0	0	⋯	0	⋮	0	0	0
⋮	⋮	⋮		⋮		⋮	⋮	⋮
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