| 图像强化去噪的一种偏微模型 |
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| 引用本文： | 郇中丹,孔令海,黄海洋.图像强化去噪的一种偏微模型[J].北京师范大学学报(自然科学版),2003,39(6):733-739. |
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| 作者姓名： | 郇中丹 孔令海 黄海洋 |
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| 作者单位： | 北京师范大学数学系,100875,北京 |
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| 基金项目： | 国家自然科学基金;19571010; |
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| 摘 要： | 给出了图像处理中加强去噪的一种方法．具体作法是在能量泛函中用模糊算子作用后的原图像与获得图像之间的距离代替原图像与获得图像之间的距离．实验结果表明，这样的处理不仅加强了去噪效果，而且保持了现有处理方法的其他优点．建立了与这一模型对应的流方程Cauchy问题的逼近问题的古典解的存在惟一性，使得这类问题的讨论完善化了．
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| 关 键 词： | 去噪 模糊算子 黏性解 |
| 修稿时间： | 2003年3月5日 |
A PDE ENHANCED DENOISE MODEL IN IMAGE RESTORATION |
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| Huan Zhongdan,Kong Linghai,Huang Haiyang.A PDE ENHANCED DENOISE MODEL IN IMAGE RESTORATION[J].Journal of Beijing Normal University(Natural Science),2003,39(6):733-739. |
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| Authors: | Huan Zhongdan Kong Linghai Huang Haiyang |
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| Abstract: | An enhanced denoise model for image restoration is proposed. The difference between original image and obtained is replaced by that between blurred and obtained in energy functionals. The experimental results show that the model enhances the denoise effect and retains the other advantages as in current approaches. The existence and uniqueness of classical solutions to Cauchy problem of approximating equations of the flow equation are also established, which makes the discussion complete. |
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| Keywords: | denoise blurring operator viscosity solutions |
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