| 具有纹理保持能力的四阶偏微分方程去噪方法 |
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| 引用本文： | 郑枉辉,朱立新,王幸平,韦志辉,夏德深.具有纹理保持能力的四阶偏微分方程去噪方法[J].计算机工程与应用,2009,45(7):195-198. |
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| 作者姓名： | 郑枉辉 朱立新 王幸平 韦志辉 夏德深 |
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| 作者单位： | 1. 南京理工大学计算机科学与技术学院,南京,210094
2. 中国电子科技集团公司第二十八研究所,南京,210007 |
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| 基金项目： | 国家自然科学基金，香港特区政府研究资助局研究项目 |
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| 摘 要： | 虽然四阶偏微分方程图像去噪方法能得到较好的分段光滑的结果,但这类方法常破坏图像的纹理信息。提出了一种具有保持图像纹理信息能力的四阶偏微分方程去噪模型。利用垂直于梯度方向的图像二阶导数设计了一种新的代价函数。证明了该函数解的存在性与唯一性并给出了其对应的Euler-Lagrange方程。在实验方面,用大量真实的纹理图像验证了新方法。实验结果表明,新方法在去噪的同时图像的边缘与细节得到了较好的保持。
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| 关 键 词： | 图像去噪 四阶偏微分方程 纹理保持 海森矩阵 |
| 收稿时间： | 2008-8-21 |
| 修稿时间： | 2008-10-27
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Texture preserving fourth order PDE-based image denoising |
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| ZHENG Yu-hui,ZHU Li-xin,WANG Xing-ping,WEI Zhi-hui,XIA De-shen.Texture preserving fourth order PDE-based image denoising[J].Computer Engineering and Applications,2009,45(7):195-198. |
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| Authors: | ZHENG Yu-hui ZHU Li-xin WANG Xing-ping WEI Zhi-hui XIA De-shen |
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| Affiliation: | ZHENG Yu-hui,ZHU Li-xin,WANG Xing-ping,WEI Zhi-hui,XIA De-shen 1.School of Computer Science , Technology,Nanjing University of Science , Technology,Nanjing 210094,China 2.The 28th Research Institute,China Electronics Science , Technology Corporation,Nanjing 210007,China |
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| Abstract: | While image noise removal methods based on the fourth order partial differential equations show their advantages in producing piecewise smooth results,they are sensitive to the high frequency components in the images and destroy image texture prominently.This paper proposes a texture preserving fourth order partial differential equations based image denoising model.At first,a cost function relying on second derivatives of image intensity function in the direction orthogonal to the gradient is proposed.Then,... |
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| Keywords: | image denoising four order partial differential equation texture preservation Hessian matrix |
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