基于小波收缩与非线性扩散的去噪算法

摘要

分析小波收缩与非线性扩散之间的内在关系并证明两者的等价性.根据等价性的特点构造新的扩散方程,提出一种基于改进的非线性扩散与二维小波收缩的混合图像去噪算法.实验结果表明,与其他去噪方法相比,该算法在计算复杂性和去噪效果方面的综合性能较优.%This paper analyzes the internal relation of wavelet shrinkage and nonlinear diffusion, and the equivalence of them is proved. A new diffusion equation is constructed according to the characteristics between wavelet shrinkage and nonlinear diffusion. A new hybrid image de-noising algorithm hased on wavelet shrinkage and nonlinear diffusion is proposed. Experimental results show that compared with the other de-noising methods, this hybrid algorithm has the better general performance on computational complexity and de-noising result.