摘要
构造了一个四方向全变分(TV4)模型,并给出了求解模型的不动点方法.该模型采用每个像素点的梯度的向前、向后差分定义梯度模,能有效降低全变分(TV)模型的非线性程度.实验结果表明,TV4模型在一定程度上减少了TV模型的阶梯效应,且收敛速度比TV模型快.
A four direction total variation(TV4)model is proposed.An effective fixed point method for solving the model is given.The gradient mode is defined by the forward and backward difference of the gradient of each pixel,which effectively reduces the nonlinear degree of the TV4 model.Experiments show that the model reduces the staircasing effect of TV model to a certain extent,and the convergence speed is faster than that of TV model.
作者
滕鲜
彭英
杨奋林
TENG Xian;PENG Ying;YANG Fenlin(School of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
出处
《吉首大学学报（自然科学版）》
CAS
2020年第3期13-16,共4页
Journal of Jishou University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(11501243)
湘西自治州科技计划项目(2018SF5021)。
关键词
全变分
四方向
不动点方法
阶梯效应
total variation
four-direction
fixed point method
staircasing effect
