| 带Besov忠诚项的图像去噪变分模型 |
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| 引用本文： | 张伟斌,冯象初,王卫卫.带Besov忠诚项的图像去噪变分模型[J].西安电子科技大学学报,2011,38(3):155-158,163. |
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| 作者姓名： | 张伟斌 冯象初 王卫卫 |
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| 作者单位： | 西安电子科技大学理学院;宁夏大学数学计算机学院; |
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| 基金项目： | 国家自然科学基金资助项目(NSFC60872138) |
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| 摘 要： | 对基于Besov空间的图像去噪模型,利用Besov空间B12,2与Sobolev空间H1的等价关系,引入用Besov模刻画梯度变化的忠诚项,从而得到一类新的图像去噪变分模型.给出了相应的基于小波的数值算法,不需要处理非线性偏微分方程,是一种高效的快速算法.数值实验表明新模型能够获得很好的去噪效果,同时还能够保持图像的边缘和细节.
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| 关 键 词： | 图像去噪 Besov空间 小波 Besov忠诚项 梯度忠诚项 |
| 收稿时间： | 2010-04-26 |
Variational model with the Besov fidelity term for image denoising |
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| ZHANG Weibin,FENG Xiangchu,WANG Weiwei.Variational model with the Besov fidelity term for image denoising[J].Journal of Xidian University,2011,38(3):155-158,163. |
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| Authors: | ZHANG Weibin FENG Xiangchu WANG Weiwei |
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| Affiliation: | (1. School of Science, Xidian Univ., Xi'an 710071， China|;
2. School of Mathematics and Computer, Ningxia Univ., Yinchuan 750021， China) |
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| Abstract: | An improved variational model based on Besov space for image denoising is proposed.The L2 fidelity term in the classical model is generalized to the Besov fidelity term.The new model can be quickly solved by using the wavelet thresholding algorithm.The proposed algorithm does not need to solve the nonlinear partial differential equation,so it is an efficient and fast algorithm.Numerical experiments show that this model can remove noise efficiently while preserving the texture and the details. |
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| Keywords: | image denoising Besov space wavelet Besov fidelity term gradient fidelity term |
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