加权型曲率保持 PDE 图像滤波方法

郑钰辉; 张建伟; 陈允杰; 孙权森

doi:10.3724/SP.J.1004.2011.01175

加权型曲率保持 PDE 图像滤波方法

doi: 10.3724/SP.J.1004.2011.01175

1.
南京信息工程大学江苏省网络监控中心南京 210044;
2.
南京信息工程大学计算机与软件学院南京 210044;
3.
南京信息工程大学数理学院南京 210044;
4.
南京理工大学计算机科学与技术学院南京 210094

详细信息

通讯作者:
郑钰辉南京信息工程大学计算机与软件学院讲师. 主要研究方向为图像处理、模式识别和遥感图像复原. E-mail: zhengule_yuhui@nuist.edu.cn

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出版历程
- 收稿日期: 2010-12-22
- 修回日期: 2011-04-09
- 刊出日期: 2011-10-20

Weighted Curvature-preserving PDE Based Image Regularization Method

1.
Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing 210044;
2.
School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044;
3.
College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044;
4.
School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094

摘要

摘要: 提出了一种加权型曲率保持偏微分方程(Partial differential equation, PDE)滤波方法.传统曲率保持PDE 滤波方法未考虑各积分曲线可能经历不同的图像结构,如此影响了其对图像边缘的保持能力.在此基础上, 利用局部图像方向信息为不同积分曲线设计了相应的权重,得到了一种张量驱动的加权型曲率保持PDE滤波方法. 实验结果表明该方法在滤波的同时能较好地保持图像中边缘与曲率结构,且对图像具有一定增强能力.
- 图像滤波 /
- 曲率保持 /
- 偏微分方程 /
- 结构张量
Abstract: A weighted curvature-preserving partial different equation (PDE) based filtering method is proposed. First, it is pointed out that the tensor-driven curvature-preserving PDE filtering methods can not preserve image edge very well because that the methods does not take into account the differences between integral curves. Then, we employ local image directional information to design weight coefficients for different integral curves, and present a new tensor-driven curvature-preserving PDE. Experimental results indicate that new method shows superior performance on preserving image edge and curvature geometric structure, as well as some image enhancement ability.
- Image filtering /
- curvature-preserving /
- partial differential equation (PDE) /
- structure tensor

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参考文献(1)

[1]

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