| 基于四方向全变分的图像去噪模型 |
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| 引用本文： | 滕鲜,彭英,杨奋林.基于四方向全变分的图像去噪模型[J].吉首大学学报(自然科学版),2020,41(3):13-16. |
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| 作者姓名： | 滕鲜 彭英 杨奋林 |
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| 作者单位： | (吉首大学数学与统计学院,湖南 吉首 416000) |
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| 基金项目： | 国家自然科学基金;湘西自治州科技计划 |
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| 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.
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| 关 键 词： | 全变分 四方向 不动点方法 阶梯效应 |
Image Denoising Model Based on Four-Direction Total Variation |
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| TENG Xian,PENG Ying,YANG Fenlin.Image Denoising Model Based on Four-Direction Total Variation[J].Journal of Jishou University(Natural Science Edition),2020,41(3):13-16. |
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| Authors: | TENG Xian PENG Ying YANG Fenlin |
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| Institution: | （School of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China） |
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| Abstract: | 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. |
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| Keywords: | total variation four-direction fixed point method staircasing effect |
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