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Besov空间下迭代全变差正则化的图像恢复模型

江玲玲 殷海青

计算机工程与应用2011,Vol.47Issue(17):181-184,4.
计算机工程与应用2011,Vol.47Issue(17):181-184,4.DOI:10.3778/j.issn.1002-8331.2011.17.050

Besov空间下迭代全变差正则化的图像恢复模型

Iterative total variation regularization for image restoration in Besov spaces

江玲玲 1殷海青2

作者信息

  • 1. 中国石油大学数学与计算科学学院,山东东营257061
  • 2. 西安电子科技大学理学院,西安710071
  • 折叠

摘要

Abstract

An iterative regularization procedure in Besov spaces for image restoration is generalized. By using a suitable sequence of penalty parameters,the issue of solvability of minimization problems arising in each step of the iterative procedure is solved. The generalized iterative regularization procedure can be considered as a combination of soft-thresholding and hard-thresholding. Moreover, an effective stopping criteria and convergence result for the procedure are obtained. The numerical results indicate that the iteration procedure yields high-quality reconstructions and converges faster than the Xu-Osher method.

关键词

迭代正则化/全变差/Bregman距离/Besov空间

Key words

iterative regularization/ total variation/Bregman distance/ Besov spaces

分类

信息技术与安全科学

引用本文复制引用

江玲玲,殷海青..Besov空间下迭代全变差正则化的图像恢复模型[J].计算机工程与应用,2011,47(17):181-184,4.

基金项目

国家自然科学基金(the National Natural Science Foundation of China under Grant No.60971132) (the National Natural Science Foundation of China under Grant No.60971132)

中国石油大学(华东)博士科研启动经费(No.Y090801). (华东)

计算机工程与应用

OACSCDCSTPCD

1002-8331

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