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中文摘要：
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。
英文摘要：
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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