An Efficient Feature-Preserving Image Denoising Algorithm Based on a Spatial-Fractional Anisotropic Diffusion Equation
Year: 2021
Author: Maoyuan Xu, Xiaoping Xie
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 788–807
Abstract
An efficient feature-preserving fractional image denoising algorithm based on a nonlinear spatial-fractional anisotropic diffusion equation is proposed. Two-sided Grünwald-Letnikov fractional derivatives used in the PDE model are suitable to depict the local self-similarity of images. The short memory principle is employed to simplify the approximation scheme. Experimental results show that the method has an extremely high structural retention property and keeps a remarkable balance between noise removal and feature preserving.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.081220.270421
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 788–807
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Image denoising feature preserving spatial-fractional diffusion equation two-sided derivative Grünwald-Letnikov derivative
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