Total variation image denoising based on fractional B-spline wavelet

doi:10.3778/j.issn.1002-8331.2009.11.006

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (11): 19-21.DOI: 10.3778/j.issn.1002-8331.2009.11.006

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Total variation image denoising based on fractional B-spline wavelet

LIU Hong-yi^1,2,WEI Zhi-hui²,ZHANG Zheng-rong^1,2

1.School of Science，Nanjing University of Science and Technology，Nanjing 210094，China
2.School of Computer Science and Technology，Nanjing University of Science and Technology，Nanjing 210094，China

Received:2008-12-10 Revised:2009-01-31 Online:2009-04-11 Published:2009-04-11
Contact: LIU Hong-yi

分数阶B样条小波域的图像变分去噪

刘红毅^1,2,韦志辉²,张峥嵘^1,2

1.南京理工大学理学院，南京 210094
2.南京理工大学计算机科学与技术学院，南京 210094

通讯作者: 刘红毅

Abstract

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.

Key words: fractional B-spline, image denoising, total variation

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。

关键词: 分数阶B样条, 图像去噪, 全变差

LIU Hong-yi^1,2,WEI Zhi-hui²,ZHANG Zheng-rong^1,2. Total variation image denoising based on fractional B-spline wavelet[J]. Computer Engineering and Applications, 2009, 45(11): 19-21.

刘红毅^1,2,韦志辉²,张峥嵘^1,2. 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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Total variation image denoising based on fractional B-spline wavelet

分数阶B样条小波域的图像变分去噪

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