[1]胡 彬,邱淑芳,杨志辉,等.一种新的4阶偏微分方程图像处理方法[J].江西师范大学学报(自然科学版),2016,40(06):603-607.
　HU Bin,QIU Shufang,YANG Zhihui,et al.The Image Denoising by Fourth-Order Partial Differential Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(06):603-607.
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一种新的4阶偏微分方程图像处理方法()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年06期
页码:
603-607
栏目:
出版日期:
2016-12-01

文章信息/Info

Title:
The Image Denoising by Fourth-Order Partial Differential Equations
作者:
胡 彬; 邱淑芳; 杨志辉; 袁邵祎
1.东华理工大学理学院,江西 南昌 330013; 2.东北大学秦皇岛分校控制工程学院,河北 秦皇岛 066004
Author(s):
HU Bin; QIU Shufang; YANG Zhihui; YUAN Shaoyi
1.School of Science,East China Institute of Technology,Nanchang Jiangxi 330013,China; 2.School of Control Engineering Northeastern University at Qinhuangdao,Qinhuangdao Hebei 066004,china
关键词:
图像去噪;  各向异性扩散;  形态学扩散去噪;  4阶偏微分方程
Keywords:
image denoising;  anisotropic diffusion;  morphological anisotropic diffusion;  fouth-order partial differential equations
分类号:
O 241.8; O 241.6
摘要:
提出了一种新的4阶偏微分方程去噪模型,与已有4阶偏微分方程模型、各向异性扩散模型、各向异性中值扩散模型和形态学扩散去噪模型相比较,该模型有效地权衡了噪声平滑效果和边缘保持,并通过数值算例验证了该模型的优越性.
Abstract:
A new denoising model of four order partial differential equations which can be proved to be stable to overcome this deficiency is presented.A comparison among previous fourth-order differential equation,anisotropic diffusion,anisotropic median-diffusion and morpholocical anisotropic diffusion is drawn.The experimental results are also given.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-10-10基金项目:国家自然科学基金(11561003)和江西省教育厅科技计划课题(GJJ14469)资助项目.作者简介:胡 彬(1982-),女,江西南丰人,讲师,主要从事数学物理方程反问题理论及计算研究.
更新日期/Last Update: 1900-01-01