| 隐式开曲面上图像噪声去除的变分模型及其SplitBregman算法 |
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| 引用本文： | 刘慧源,潘振宽,魏伟波.隐式开曲面上图像噪声去除的变分模型及其SplitBregman算法[J].青岛大学学报(自然科学版),2011,24(4):51-56,61. |
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| 作者姓名： | 刘慧源 潘振宽 魏伟波 |
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| 作者单位： | 青岛大学信息工程学院,山东青岛,266071 |
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| 基金项目： | 国家自然科学基金(61170106); 山东省博士后创新项目专项资金(201003046) |
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| 摘 要： | 采用符号距离函数的零水平集与另一特征函数取值为1的点的交集表达隐式开曲面，借助于内蕴梯度、内蕴散度等概念，建立了开曲面上图像噪声去除的非线性扩散变分模型。通过引入辅助变量和Bregman迭代参数，设计了所提出模型的SplitBregman算法。最终求解所导出的简单梯度降方程和解析形式的近似广义软阈值公式，实现简单、计算效率高。最后通过多个数值算例对所提出的模型和算法的去噪效果进行了验证。
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| 关 键 词： | 图像去噪 隐式开曲面 变分模型 Split Bregman算法 水平集方法 |
The Variational Model of Image Denoising on an Implicit Open Surface and Its Split Bregman Algorithm |
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| LIU Hui-yuan,PAN Zhen-kuan,WEI Wei-bo.The Variational Model of Image Denoising on an Implicit Open Surface and Its Split Bregman Algorithm[J].Journal of Qingdao University(Natural Science Edition),2011,24(4):51-56,61. |
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| Authors: | LIU Hui-yuan PAN Zhen-kuan WEI Wei-bo |
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| Institution: | LIU Hui-yuan,PAN Zhen-kuan,WEI Wei-bo(College of Information Engineering,Qingdao University,Qingdao 266071,China) |
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| Abstract: | Based on the concepts of intrinsic gradients,intrinsic divergences and using the intersection set of zero level set of a signed distance function and a characteristic function to express the implicit open surface,a variational model of image denoising on an implicit surface is proposed.Its Split Bregman algorithm is designed by introducing an auxiliary variable and a Bregman iterative parameter,which results in solving a simple gradient descent equation and a generalized soft thresholding formula with high ... |
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| Keywords: | Image denoising Implicit surface Variational model Split Bregman algorithm Level set method |
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