| 一种新的4阶偏微分方程图像处理方法 |
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| 引用本文： | 胡 彬,邱淑芳,杨志辉,袁邵祎.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(6):603-607. |
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| 作者姓名： | 胡 彬 邱淑芳 杨志辉 袁邵祎 |
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| 作者单位： | 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 |
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| 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.
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| 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 |
The Image Denoising by Fourth-Order Partial Differential Equations |
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| HU Bin,QIU Shufang,YANG Zhihui,YUAN Shaoyi.The Image Denoising by Fourth-Order Partial Differential Equations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2016,40(6):603-607. |
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| Authors: | HU Bin QIU Shufang YANG Zhihui YUAN Shaoyi |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | image denoising anisotropic diffusion morphological anisotropic diffusion fouth-order partial differential equations |
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