期刊导航

论文摘要

一种基于分数阶积分的数字图像去噪算法

A Digital Image Denoising Method Based on Fractional Calculus

作者:刘彦(四川大学 电子信息学院);蒲亦非(四川大学 计算机学院);周激流(四川大学 计算机学院)

Author:Liu Yan(School of Electronics and Info. Eng.,Sichuan Univ.);Pu Yifei(School of Computer Sci.,Sichuan Univ.);Zhou Jiliu(School of Computer Sci.,Sichuan Univ.)

收稿日期:2010-05-04          年卷(期)页码:2011,43(3):90-95

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:分数阶积分;分数阶掩模;图像去噪;纹理保持;分数阶插值

Key words:fractional integral;fractional mask;image denoise;texture preservation;fractional interpolation

基金项目:国家自然科学基金资助项目(60972131)

中文摘要

针对现有图像去噪算法丢失图像纹理信息的问题,将基于Riemann-Liouville定义的分数阶积分应用于数字图像的噪声去除,提出8个方向上的图像任意阶积分掩模,给出运用该掩模进行图像去噪的数值运算方法及相应的算法实现电路模型。仿真实验结果在定性和定量的方面表明本文的算法对灰度图像和彩色图像同样适用,具有能够一次性完成积分,去噪精度高,同时能最大限度保持图像的纹理细节信息的特点。该算法特别适用于高精度的图像实时去噪。

英文摘要

In order to solve the problem of losing texture information in the existing image denoising algorithms, fractional calculus based on the definition of Riemann-Liouville was applied to image denoising. The structures and numerical calculation methods of the fractional integral masks on eight directions were given. Then, the corresponding circuit model was proposed. The qualitative and quantitative analysis of the simulation experiments proved that this method could be applied to both grayscale images and color images. And through this method, the fractional integral operation could be completed one off, the noises could be removed in high precision and the texture information of the images could be held on. The method could be used to image denoising in real time.

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