| 一类自适应扩散方程在乘性去噪中的应用 |
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| 引用本文： | 尹云光,李静,郭志昌,曹杨.一类自适应扩散方程在乘性去噪中的应用[J].吉林大学学报(理学版),2011,49(2):164-168. |
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| 作者姓名： | 尹云光 李静 郭志昌 曹杨 |
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| 作者单位： | 1. 吉林大学 计算机科学与技术学院, 长春 130012,2. 中央民族大学 理学院, 北京 100081;3. 哈尔滨工业大学 数学系, 哈尔滨 150001,4. 大连理工大学 数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 中国博士后科学基金，中央高校基本科研业务费专项基金 |
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| 摘 要： | 提出一类自适应扩散方程并将其相应的模型用于乘性去噪, 该类模型能针对乘性噪声的特点, 根据局部梯度信息自适应地选择扩散模式: 其扩散速度和噪声大小成正比, 没有噪声的区域不扩散, 同时结合了热方程各向同性扩散和全变差流各向异性扩散的特点. 理论分析和实验结果表明, 该类模型能自适应地光滑区域内部, 增强边界, 避免阶梯效应.
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| 关 键 词： | 自适应 乘性去噪 阶梯效应 扩散方程 |
| 收稿时间： | 2010-05-17 |
Application of a Class of Adaptive Diffusion Equation to Multiplicative Denoising |
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| YIN Yun-guang,LI Jing,GUO Zhi-chang,CAO Yang.Application of a Class of Adaptive Diffusion Equation to Multiplicative Denoising[J].Journal of Jilin University: Sci Ed,2011,49(2):164-168. |
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| Authors: | YIN Yun-guang LI Jing GUO Zhi-chang CAO Yang |
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| Affiliation: | 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China|2. College of Science, Minzu University of China, Beijing 100081, China;3. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;4. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China |
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| Abstract: | The authors presented a class of adaptive diffusion equations which provide a model for multiplicative denoising. This type of diffusion varies according the local gradient information, adaptively aiming at multiplicative noise. The diffusion speed is proportional to noisy level and thereis no diffusion in the domains with no noise. The diffusion result from the proposed model is a combination of isotropic diffusion based on heat equation and anisotropic diffusion based on total variation. Theoretical analysis and experimental results illustrate the effectiveness of the model in removing noise and enhancing edges whileavoiding the staircasing effect. |
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| Keywords: | adaptive multiplicative denoising staircase effect diffusion equation |
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