Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving
type: Item
instance of: scholarly article
title: Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving
zbMATH Open document ID: 1503.65185
author: Xiujie Shan
author: Jiebao Sun
author: Zhichang Guo
author: Zhenyu Zhou
author: Wenjuan Yao
published in: BIT
publication date: 2022-11-22T00:00:00Z
review text: A fractional-order anisotropic diffusion model, based on fractional Fick's law for multiplicative noise removal in texture-rich images, is proposed. A fast explicit diffusion solving algorithm is considered. It is shown that the new model is different from the model derived from the fractional-order variation method and arises from a physical consideration. For actual numerical applications, the discrete Grünwald-Letnikov approximation is employed to implement the finite difference discretization of the model, yielding a dense coefficient matrix. Limited nodes are used in the Grünwald-Letnikov approximation to produce a sparse coefficient matrix for computational tractability, while the fast explicit diffusion method is used to speed up the computations. The performance of the proposed model is illustrated by comparing it with other denoising models studied in the literature.
reviewed by: Kanakadurga Sivakumar
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 7621788
zbMATH Keywords: fractional Fick's law
zbMATH Keywords: diffusion equation
zbMATH Keywords: multiplicative noise
zbMATH Keywords: texture image
zbMATH Keywords: fast explicit diffusion
MaRDI profile type: Publication
full work available at URL: s10543-022-00913-3
OpenAlex ID: W4214637603
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DOI: 10.1007/S10543-022-00913-3
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description: scientific article; zbMATH DE number 7621788