Image denoising of adaptive fractional operator based on Atangana-Baleanu derivatives
type: Item
instance of: scholarly article
title: Image denoising of adaptive fractional operator based on Atangana-Baleanu derivatives
zbMATH Open document ID: 1477.94017
DOI: 10.1155/2021/5581944
author: Xiaoran Lin
author: Guohao Wu
author: Jing Hao
author: YaChao Wang
published in: Journal of Mathematics
publication date: 2021-06-25T00:00:00Z
review text: Summary: A fractional integral operator can preserve an image edge and texture details as a denoising filter. Recently, a newly defined fractional-order integral, Atangana-Baleanu derivatives (ABC), has been used successfully in image denoising. However, determining the appropriate order requires numerous experiments, and different image regions using the same order may cause too much smoothing or insufficient denoising. Thus, we propose an adaptive fractional integral operator based on the Atangana-Baleanu derivatives. Edge intensity, global entropy, local entropy, and local variance weights are used to construct an adaptive order function that can adapt to changes in different regions of an image. Then, we use the adaptive order function to improve the masks based on the Grumwald-Letnikov scheme (GL\(\_\)ABC) and Toufik-Atangana scheme (TA\(\_\)ABC), namely, Ada\(\_\)GL\(\_\)ABC and Ada\(\_\)TA\(\_\)ABC, respectively. Finally, multiple evaluation indicators are used to assess the proposed masks. The experimental results demonstrate that the proposed adaptive operator can better preserve texture details when denoising than other similar operators. Furthermore, the image processed by the Ada\(\_\)TA\(\_\)ABC operator has less noise and more detail, which means the proposed adaptive function has universality.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7363426
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5581944
OpenAlex ID: W3144515033
cites work: SYMMETRY ANALYSIS FOR A SEVENTH-ORDER GENERALIZED KdV EQUATION AND ITS FRACTIONAL VERSION IN FLUID MECHANICS
cites work: Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
cites work: Fractional-order adaptive fault-tolerant control for a class of general nonlinear systems
cites work: A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
cites work: A Fractional-Order Variational Framework for Retinex: Fractional-Order Partial Differential Equation-Based Formulation for Multi-Scale Nonlocal Contrast Enhancement with Texture Preserving
cites work: Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
cites work: New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques
cites work: Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative
cites work: Mathematical modeling and analysis of two-variable system with noninteger-order derivative
cites work: Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel
cites work: On some new properties of fractional derivatives with Mittag-Leffler kernel
cites work: Mittag-Leffler functions and their applications
cites work: A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Image enhancement and denoising algorithms based on adaptive fractional differential and integral
description: scientific article; zbMATH DE number 7363426