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A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations 被引量:5

A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations
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摘要 In this paper,we propose a compound algorithm for the image restoration. The algorithm is a convex combination of the ROF model and the LET model with a parameter functionθ.The numerical experiments demonstrate that our compound algorithm is efficient and preserves the main advantages of the two models.In particular, the errors of the compound algorithm in L2 norm between the exact images and corresponding restored images are the smallest among the three models.For images with strong noises,the restored images of the compound algorithm are the best in the corresponding restored images.The proposed algorithm combines the fixed point method, an improved AMG method and the Krylov acceleration.It is found that the combination of these methods is efficient and robust in the image restoration. In this paper, we propose a compound algorithm for the image restoration. The algorithm is a convex combination of the ROF model and the LLT model with a parameter function 0. The numerical experiments demonstrate that our compound algorithm is efficient and preserves the main advantages of the two models. In particular, the errors of the compound algorithm in L2 norm between the exact images and corresponding restored images are the smallest among the three models. For images with strong noises, the restored images of the compound algorithm are the best in the corresponding restored images. The proposed algorithm combines the fixed point method, an improved AMG method and the Krylov acceleration. It is found that the combination of these methods is efficient and robust in the image restoration.
出处 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第4期353-376,共24页 高等学校计算数学学报(英文版)
基金 suppprt from NSFC of China,Singapore NTU project SUG 20/07,MOE Grant T207B2202 NRF2007IDMIDM002-010
关键词 复合算法 四阶偏微分方程 图像恢复算法 二阶 去噪 不动点方法 参数函数 数值实验 Algorithm of denoising, image restoration, total variation, second-order functional.
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参考文献12

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同被引文献18

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