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分数阶B样条小波域的图像变分去噪
Total variation image denoising based on fractional B-spline wavelet
【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。
【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.
【基金】 国家自然科学基金No.60672074;国家高技术研究发展计划(863)No.2007AA12E142;江苏省自然科学基金No.BK2006569;南京理工大学校科研发展基金No.AB96237~~
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2009年11期
- 【分类号】TP391.41
- 【被引频次】12
- 【下载频次】297