An Iterative Method For Bayesian Gauss-markovrnimage Restoration

A; Bouhamidi; K; Jbilou

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An Iterative Method For Bayesian Gauss-markovrnimage Restoration

机译：贝叶斯高斯-马尔可夫图像复原的迭代方法

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摘要

The purpose of this paper is to introduce a new method for the restoration of images that have been degraded by a blur and an additive white Gaussian noise. The model adopted here is assumed to be Bayesian Gauss-Markov linear model. By exploiting the structure of the blurring matrix and by using Kronecker product approximations, the image restoration problem is formulated as matrix equations which will be solved iteratively by projection methods onto Krylov subspaces. We give some theoretical and experimental results with applications to image restoration.

机译：本文的目的是介绍一种用于恢复由于模糊和加性高斯白噪声而退化的图像的新方法。假设此处采用的模型是贝叶斯高斯-马尔可夫线性模型。通过利用模糊矩阵的结构并使用Kronecker乘积近似，将图像恢复问题公式化为矩阵方程，将通过投影方法将其迭代求解到Krylov子空间上。我们给出一些理论和实验结果，并将其应用于图像复原。

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来源
《Applied Mathematical Modelling》 |2009年第1期|361-372|共12页
作者
A; Bouhamidi; K; Jbilou;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
image restoration; bayesian gauss-markov model; matrix equations; projection; krylov subspace; stein matrix equations;

机译：图像恢复;贝叶斯高斯-马尔可夫模型;矩阵方程投影;克雷洛夫子空间斯坦矩阵方程;

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1. Probabilistic, Iterated and Quantum-Iterated Computational Methods in Gray-Level Image Restoration [J] . Kazuyuki TANAKA, Tsuyoshi HORIGUCHI Interdisciplinary Information Sciences . 2002,第1期

机译：灰度图像复原中的概率，迭代和量子迭代计算方法
2. A class of upper and lower triangular splitting iteration methods for image restoration [J] . Hong-Tao Fan, Mehdi Bastani, Bing Zheng, Applied Mathematical Modelling . 2018,第FEBa期

机译：一类用于图像复原的上下三角分裂迭代方法
3. Two global iterative methods for ill-posed problems from image restoration [J] . Lv Xiao-Guang, Huang Ting-Zhu, Jiang Le, Journal of computational analysis and applications . 2015,第2期

机译：图像复原中不适定问题的两种全局迭代方法
4. Image Restoration by Revised Bayesian-Based Iterative Method [C] . Sigeru Omatu, Hideo Araki International Conference on Advanced Engineering Computing and Applications in Sciences . 2011

机译：基于修订的贝叶斯的迭代方法进行图像恢复
5. Variational Image Segmentation and Restoration using Sobolev Gradients, Nonlocal and Iterative Regularization Methods. [D] . Jung, Mi Youn. 2010

机译：使用Sobolev梯度，非局部和迭代正则化方法进行变分图像分割和恢复。
6. Regularization Parameter Selection for Nonlinear Iterative Image Restoration and MRI Reconstruction Using GCV and SURE-Based Methods [O] . Sathish Ramani, Zhihao Liu, Jeffrey Rosen, -1

机译：正则参数选取非线性迭代图像复原和重建mRI使用GCV和基于sURE方法
7. Probabilistic, Iterated and Quantum-Iterated Computational Methods in Gray-Level Image Restoration [O] . Kazuyuki TANAKA, Tsuyoshi HORIGUCHI 2002

机译：灰度图像恢复中的概率，迭代和量子迭代计算方法

An Iterative Method For Bayesian Gauss-markovrnimage Restoration

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