四川大学学报：工程科学版2012，Vol.44Issue(2)：91-98,8.
基于空间分数阶偏微分方程的图像去噪模型研究
Research on Image Denoising Based on Space Fractional Partial Differential Equations
摘要
Abstract
In order to preserve more edge and texture information of image while obtaining higher value of signal-to-noise,the image denoising model based on space fractional partial differential equations was constructed by the effective combination of fractional calculus theory and partial differential equations method,and the numerical of denoising model was achieved using fractional differential mask operator.This denoising model could solve existing problems of the traditional denoising model to a certain extent by introducing the edge stopping function to the parameters of fractional grads modulus and selecting the appropriate order of fractional differential.The experimental results showed that compared with the traditional image denoising models,the image denoising model based on space fractional partial differential equations not only enhanced the signal-to-noise ratio of image but also better retained the edge and texture details information of image.关键词
分数阶微积分/偏微分方程/分数阶微分掩模/分数阶全变差/图像去噪/信噪比Key words
fractional calculus/partial differential equations/fractional differential mask/fractional total variation/image denoising/signal-to-noise ratio分类
计算机与自动化引用本文复制引用
黄果,许黎,陈庆利,蒲亦非..基于空间分数阶偏微分方程的图像去噪模型研究[J].四川大学学报：工程科学版,2012,44(2):91-98,8.基金项目
国家自然科学基金资助项目 （）
四川省教育厅青年基金资助项目 （）
乐山师范学院科研资助项目 （）
