| 一个图像处理模型的差分格式稳定性分析 |
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| 引用本文： | 杨淑伶.一个图像处理模型的差分格式稳定性分析[J].数学的实践与认识,2011,41(1). |
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| 作者姓名： | 杨淑伶 |
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| 作者单位： | 广东工业大学应用数学学院,广东广州,510006 |
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| 摘 要： | 对一个用于图像去噪、量化的反应扩散模型建立了二层差分格式,并证明了差分格式具有L~∞稳定性的充分条件.最后,通过计算机图像处理实验对充分条件进行了验证.
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| 关 键 词： | 反应扩散模型 差分格式 L~∞稳定性 |
Stability Analysis of Difference Scheme for an Image Processing Model |
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| YANG Shu-ling.Stability Analysis of Difference Scheme for an Image Processing Model[J].Mathematics in Practice and Theory,2011,41(1). |
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| Authors: | YANG Shu-ling |
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| Abstract: | In this paper,a difference scheme is presented for the reaction-diffusion model appearing in image denoising and quantization.Studies give the condition in which L~∞stability of the difference scheme is established.The condition is demonstrated by computer experiments. |
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| Keywords: | reaction-diffusion model difference scheme L~∞stability |
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