| 分数阶B样条小波域的图像变分去噪 |
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| 引用本文： | 刘红毅,韦志辉,张峥嵘.分数阶B样条小波域的图像变分去噪[J].计算机工程与应用,2009,45(11):19-21. |
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| 作者姓名： | 刘红毅 韦志辉 张峥嵘 |
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| 作者单位： | 1. 南京理工大学,理学院,南京,210094;南京理工大学,计算机科学与技术学院,南京,210094
2. 南京理工大学,计算机科学与技术学院,南京,210094 |
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| 基金项目： | 国家自然科学基金，国家高技术研究发展计划(863计划)，江苏省自然科学基金，南京理工大学校科研发展基金 |
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| 摘 要： | 分数阶B样条具有分数阶逼近,可以更好地刻画图像纹理部分。将分数阶B样条小波推广到二维领域,利用分数阶B样条小波进行图像阈值去噪,提出了分数阶B样条小波域图像去噪的变分模型。同传统小波函数与全变差结合模型比较,分数阶B样条小波在保持纹理和去噪方面得到了明显改进。
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| 关 键 词： | 分数阶B样条 图像去噪 全变差 |
| 收稿时间： | 2008-12-10 |
| 修稿时间： | 2009-1-31
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Total variation image denoising based on fractional B-spline wavelet |
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| LIU Hong-yi,WEI Zhi-hui,ZHANG Zheng-rong.Total variation image denoising based on fractional B-spline wavelet[J].Computer Engineering and Applications,2009,45(11):19-21. |
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| Authors: | LIU Hong-yi WEI Zhi-hui ZHANG Zheng-rong |
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| Affiliation: | LIU Hong-yi1,2,WEI Zhi-hui2,ZHANG Zheng-rong1,21.School of Science,Nanjing University of Science , Technology,Nanjing 210094,China 2.School of Computer Science , Technology,China |
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| Abstract: | Fractional B spline has a fractional order approximation of α+1，so can present image texture better.Extending the fractional B spline to two-dimension，and applying wavelet threshold to image denoising，a denoising method based on fractional B spline and total variation is proposed.Experimental results show that new denoising methods perform better both in denoising and preserving texture，compared with the traditional dependence of coefficients denoising algorithm. |
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| Keywords: | fractional B-spline image denoising total variation |
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