The Properties of the Shear Gradient Operator and Its Application in Image Deblurring | Wuhan University Journal of Natural Sciences

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Volume 30 / No 5 (October 2025)

Wuhan Univ. J. Nat. Sci., 30 5 (2025) 427-440

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Fig. 1

The gradient operator and the shear gradient operator from different angles are applied to the image u-'Barbara' (a) $D_{x} u$ ; (b) $S_{θ_{b}}^{T} D_{x} S_{θ_{b}} u$ with $θ_{b} = 45 °$ ; (c) $S_{θ_{b}}^{T} D_{x} S_{θ_{b}} u$ with $θ_{b} = 90 °$ ; (d) $D_{y} u$ ; (e) $S_{θ_{l}}^{T} D_{y} S_{θ_{l}} u$ with $θ_{l} = 45 °$ ; (f) $S_{θ_{l}}^{T} D_{y} S_{θ_{l}} u$ with $θ_{l} = 90 °$

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