摘要
该文提出了一种新的应用于图像复原的加速动量梯度投影法。该方法在负梯度的方向上添加一个动量项,并且动态地选取动量参数和步长,从而加速了算法的收敛。在合理的假设下,证明了算法的全局收敛性。数值试验表明,与当前先进的FISTA方法相比较,该文提出的算法无论是在时间上还是在图像复原的质量上都是有竞争力的。
in this paper, a new momentum gradient projection method for image restoration is proposed by using the convex combination of the negative gradient direction and the momentum term as the search direction, and the proposed method employs dynamic selection of momentum parameters and step length, which accelerates its convergence. Under mild conditions, the method is proved to be globally convergent. Experiment results demonstrate that thc proposed method outperforms FISTA, both in time efficiency and in the quality of image restoration.
出处
《科技资讯》
2016年第27期137-140,共4页
Science & Technology Information
基金
河北省自然科学基金(项目编号:A2015202365)
关键词
加速动量梯度投影法
动量
图像复原
Momentum gradient projection method
Momentum
Image restoration