| 基于小波空间的图像分解变分模型 |
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| 引用本文： | 李敏,冯象初.基于小波空间的图像分解变分模型[J].电子学报,2008,36(1):184-187. |
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| 作者姓名： | 李敏 冯象初 |
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| 作者单位： | 西安电子科技大学理学院,陕西西安 710071 |
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| 摘 要： | 本文从不同的角度考虑OSV模型,提出一种基于全变差和H-1范数的图像分解变分模型.通过分析OSV模型的性质,给出该模型基于小波空间的非线性偏微分方程和迭代算法.同时,从理论上分析了该模型的极小值存在性.实验表明该方法具有可行性.
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| 关 键 词： | 全变差 图像分解 结构 纹理 偏微分方程 极小化 小波 |
| 文章编号： | 0372-2112（2008）01-0184-04 |
| 收稿时间： | 2005-11-24 |
| 修稿时间： | 2007-10-21 |
A Variational Model for Image Decomposition Based on Wavelet Method |
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| LI Min,FENG Xiang-chu.A Variational Model for Image Decomposition Based on Wavelet Method[J].Acta Electronica Sinica,2008,36(1):184-187. |
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| Authors: | LI Min FENG Xiang-chu |
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| Affiliation: | School of Science,Xidian University,Xi’an,Shaanxi 710071,China |
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| Abstract: | A variational model for image decomposition based on total variation and H^-1 norm is proposed, whose start is different from the OSV model.By the propertied of OSV model,the nonlinear partial differential equation and the associated iterafive algorithm based on wavelet method are introduced. And the proof of the existence of minimizer for the variational model is given.Numerical results of image decomposition and denoising show that this model is feasible. |
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| Keywords: | total variation image decomposition structure texture partial differential equation minimization wavelet |
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