摘要
针对二阶偏微分方程处理含噪声图像时存在的阶梯效应,文中提出了一个新的四阶偏微分方程图像去噪模型。首先对提出的模型利用有限差分法进行数值计算,然后分别对Lena图像、Cameraman图像和彩色Lena图像、彩色Peppers图像进行MATLAB仿真实验,将文中提出的模型与已有的去噪模型进行比较,分析结果表明文中提出的新模型能有效去除乘性噪声。
A new image denoising model for the fourth-order partial differential equation is proposed to deal with the staircase effects on the second-order partial differential equation.Firstly,numerical calculation is carried out on the proposed model by the finite difference scheme.Then,the Lena image,Cameraman and color Lena images,and color Peppers image are simulated by MATLAB.Finally,the proposed model is compared with the existing denoising models.The analytical results show that the new model can effectively remove multiplicative noises.
作者
闵莉花
李振华
冯灿
朱铭锋
MIN Lihua;LI Zhenhua;FENG Can;ZHU Mingfeng(College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China;North Information Control Research Academy Group Co.,Ltd.,Nanjing 211153,China)
出处
《南京邮电大学学报（自然科学版）》
北大核心
2019年第2期13-19,共7页
Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition
基金
国家自然科学基金(11401318
11671004)
江苏省高校自然科学基金(17KJB110012)资助项目
关键词
图像去噪
偏微分方程
有限差分法
MATLAB
image denoising
partial differential equation(PDE)
finite difference scheme
MATLAB
