In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's (see SIAM J. Sci. Stat. Comput., vol.17, p.227-38, 1996, and IEEE Trans. Image Processing, vol.7, p.813-24, 1998) product preconditioner.
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机译:在PDE图像恢复问题中,必须将算子求反,该算子是模糊算子和椭圆算子的总和,其系数变化很大。我们为此类算子提供了一个预处理器,可以与共轭梯度(CG)方法一起使用,并将其与Vogel和Oman进行比较(参见SIAM J. Sci。Stat。Comput。,第17卷,第227-38页, 1996年,以及IEEE Trans。Image Processing,第7卷,第813-24页,1998年)产品预处理器。
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