Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

655-660


DOI

Article

Image denoising model based on improved fractional calculus mathematical equation

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Authors

Kai Li Affiliation:
Department of software engineering, Zhengzhou Technical College, zhengzhou, 450000, China
and Xinke Wang Affiliation:
Department of software engineering, Zhengzhou Technical College, zhengzhou, 450000, China


Abstract

Aiming at the problems of image edge blur and detail loss in most image denoising models, an image denoising model based on improved fractional calculus is proposed. Through the classification of image noise, the integer order PDE model is discussed. Based on the mathematical theory of fractional calculus, the fractional PDE model is discussed. The model is improved by combining texture detection operator, gray value detection operator, smoothing factor and fast algorithm. The simulation experiment of the model is carried out based on MATLAB simulation platform. The results show that the improved model is significantly better than other comparison models in image denoising effect, and the operation efficiency is higher.


Keywords

PDE, image denoising, fractional order, PSNR, 90C06


Citation

Li, K. & Wang, X. (2022). Image denoising model based on improved fractional calculus mathematical equation. Applied Mathematics and Nonlinear Sciences, 7(2), 655–660. https://doi.org/10.2478/amns.2022.2.0051
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Published by: Engineering Journals

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