| Besov空间的阈值收缩和边缘补偿的图像去噪 |
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| 引用本文： | 文乔农,万遂人,刘增力.Besov空间的阈值收缩和边缘补偿的图像去噪[J].计算机应用与软件,2011(9). |
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| 作者姓名： | 文乔农 万遂人 刘增力 |
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| 作者单位： | 东南大学医学电子学实验室;昆明理工大学信息工程与自动化学院; |
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| 基金项目： | 国家自然科学基金项目(60872157) |
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| 摘 要： | 提出一种新的图像去噪方法,它是Besov空间的变分模型,在负实数次Sobolev空间上定义了数据项,用Besov半范数定义了正则项。并详细推导了变分模型在Besov空间的阈值求解公式,先做一个Contourlet变换域的小阈值收缩,然后再利用该模型去噪。去除噪声的同时也损失了部分边缘信息,把边缘分为四种情况,针对不同情况确定相应的边缘补偿方法。实验表明该模型具有良好的去噪效果。
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| 关 键 词： | 图像去噪 Besov空间 阈值收缩 边缘补偿 |
BESOV SPACE THRESHOLD SHRINKAGE AND EDGE COMPENSATION IMAGE DENOISING |
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| Wen Qiaonong Wan Suiren Liu Zengli.BESOV SPACE THRESHOLD SHRINKAGE AND EDGE COMPENSATION IMAGE DENOISING[J].Computer Applications and Software,2011(9). |
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| Authors: | Wen Qiaonong Wan Suiren Liu Zengli |
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| Affiliation: | Wen Qiaonong1 Wan Suiren1 Liu Zengli2 1(Medical Electronics Laboratory,Southeast University,Nanjing 210096,Jiangsu,China) 2(Faculty of Information Engineering and Automation,Kunming University of Science and Technology,Kunming 650051,Yunnan,China) |
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| Abstract: | A novel image denoising method is proposed in the paper.It is a variation model of Besov space.It defines both data items in negative real times Sobolev space and regularization items with Besov semi-norm.The paper derives in detail the threshold solve formula of variation model in Besov space.At first a small threshold shrinkage is made with Contourlet transform domain,then that model is applied for denoising.The denoising process causes four types of edge information loss,which are couterbalanced by diffe... |
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| Keywords: | Image denoising Besov space Threshold shrinkage Edge compensation |
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