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一种组合总变差和4阶偏微分方程的图像去噪模型

DOI: 10.11834/jig.20080809

Keywords: 总变差,图像去噪,梯子现象,偏微分方程

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Abstract:

总变差滤波能保持边缘,4阶PDE滤波能在图像的光滑区域消除阶梯现象,为此提出了一个用于图像去噪的基于偏微分方程(PDE)的组合模型,把总变差(tovalvarition,TV)滤波和一个四阶PDE滤波通过某一权函数?τ?进行了加权组合。该组合模型很好地保留了二者的优点。数值试验结果表明,新模型在信噪比等方面比单纯的用一种滤波有较大的改进。

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