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- W2800609562 abstract "Many applications show that nonconvex nonsmooth regularization has advantages for restoring images with neat edges. This phenomenon has been provided as a mathematical explanation for the anisotropic model through establishing a uniform lower bound for nonzero gradients of recovered images. For nonconvex and nonsmooth regularization using potential functions composed of the $ell_2$ norm of the image gradient, i.e., the isotropic model, there lack reasonable theoretical results in the literature. Based on some properties of image gradient fields not considered previously, we obtain a uniform lower bound for the nonzero gradients of recovered images for the isotropic model, which implies the edge recovery property of this model. Our theoretical results are illustrated using a numerical experiment." @default.
- W2800609562 created "2018-05-17" @default.
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- W2800609562 date "2018-01-01" @default.
- W2800609562 modified "2023-09-30" @default.
- W2800609562 title "On the Edge Recovery Property of Noncovex Nonsmooth Regularization in Image Restoration" @default.
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- W2800609562 doi "https://doi.org/10.1137/17m1123687" @default.
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