Fast half-quadratic algorithm for image restoration and reconstruction

被引：5
|
作者：
Yang, Xiaojuan [1 ,2 ]
Wang, Li [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Taizhou Coll, Sch Math, Taizhou 225300, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2017年 / 50卷
基金：
中国国家自然科学基金;
关键词：
Half-quadratic; Alternating direction method; Regularization; Impulse noise; Magnetic resonance imaging; PRIMAL-DUAL METHOD; MINIMIZATION METHODS;
D O I：
10.1016/j.apm.2017.05.031
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
l(p)-l(q) problems with 0 < p, q <= 2 have received significant attentions in image restoration and compressive sensing. Half-quadratic regularization method is usually a technique to solve this problem. To improve the performance of this technique, instead of conjugate gradient(CG) method, we propose an alternating direction method of multipliers (ADMM) as the inner iterations to solve the corresponding linear equations. The convergence of the resulting algorithm is discussed. Numerical results related to some image restoration and reconstruction problems are presented to demonstrate the effectiveness of our method. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：92 / 104
页数：13
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