基于PRP共轭梯度的图像去噪算法
Image denoising algorithm based on PRP conjugate gradient
孙敏 1孙肖丽 1田茂英2
作者信息
- 1. 枣庄学院数学与统计学院
- 2. 山东煤炭卫生学校,277160,山东省枣庄市
- 折叠
摘要
两阶段算法是去除椒盐噪声的一类非常有效的方法.该文设计了一类PRP共轭梯度法来求解两阶段法中的无约束最优化问题.该方法具有两个显著特点:搜索方向具有充分下降性;结合一类定制的Armi-jo型非精确线搜索,其点列的梯度趋于零,而不是通常共轭梯度法的下极限趋于零.将所设计方法及一些经典的共轭梯度法应用到两阶段算法的最优化问题中,数值结果表明该文设计的方法在收敛速度与计算精度方面都具有优势.
Abstract
Two-phase algorithm is an effective method to remove salt-and-pepper noise.In this paper,a PRP conjugate gradient method is designed to solve the unconstrained optimization problem in the two-phase method.This method has two remarkable characteristics:the search direction has sufficient descent;combined with a customized Armijo-type inexact line search,the gradient of iterative sequence tends to zero,instead of the lower limit of the conjugate gradient method.The designed method and some classical conjugate gradient methods are applied to the optimization problem of two-phase algorithm.The numerical results show that the method designed in this paper has advantages in convergence speed and calculation accuracy.
关键词
PRP共轭梯度法/两阶段算法/椒盐噪声/全局收敛性Key words
PRP conjugate gradient method/two-phase algorithm/salt-and-pepper noise/global conver-gence引用本文复制引用
基金项目
山东省自然科学基金(ZR2022MA081)
枣庄学院博士科研启动基金()
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据