Weighted Curvature-preserving PDE Based Image Regularization Method
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摘要: 提出了一种加权型曲率保持偏微分方程(Partial differential equation, PDE)滤波方法.传统曲率保持PDE 滤波方法未考虑各积分曲线可能经历不同的图像结构,如此影响了其对图像边缘的保持能力.在此基础上, 利用局部图像方向信息为不同积分曲线设计了相应的权重,得到了一种张量驱动的加权型曲率保持PDE滤波方法. 实验结果表明该方法在滤波的同时能较好地保持图像中边缘与曲率结构,且对图像具有一定增强能力.Abstract: A weighted curvature-preserving partial different equation (PDE) based filtering method is proposed. First, it is pointed out that the tensor-driven curvature-preserving PDE filtering methods can not preserve image edge very well because that the methods does not take into account the differences between integral curves. Then, we employ local image directional information to design weight coefficients for different integral curves, and present a new tensor-driven curvature-preserving PDE. Experimental results indicate that new method shows superior performance on preserving image edge and curvature geometric structure, as well as some image enhancement ability.
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