A new nonlinear filter constructed from the Newton method and EPR in image restoration
A new nonlinear filter constructed from the Newton method and EPR in image restoration
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DOI：
10.1016/j.amc.2014.01.175
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发表时间：
2014-05
期刊：
影响因子：
--
通讯作者：
Xiaojuan Gu;Li Gao
中科院分区：
文献类型：
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作者：
Xiaojuan Gu;Li Gao
边缘保持正则化方法(EPR)可以有效地去除图像复原中的高斯噪声和脉冲噪声，但迄今为止，我们还不能说最新的优化方法能非常有效地解决这一问题。本文利用保边模型和牛顿方法构造了一种新的非线性滤波器，建立了非线性滤波器中的参数估计模型，并证明了该模型解的存在性。数值结果表明，该方法能有效地去除图像中的高斯噪声，恢复图像的时间不到保边正则化方法的一半。
The edge-preserving regularization method (EPR) is effective to remove Gaussian noise and impulse noise in image restorations, but till now, we could not say that the problem has been solved very efficiently by state of the art optimization method. In our paper, we will construct a new nonlinear filter from the edge-preserving model and the Newton method, the parameter estimation model in the nonlinear filter will be established, and the solution existence of the model will be proved at the same time. Numerical results demonstrate that the nonlinear filter removes the Gaussian noise from an image as effectively as the edge-preserving regularization method does, and the time for the nonlinear filter to restore an image is less than half time for the edge-preserving regularization method.