基于Shearlet变换的图像去噪算法

Image de-noising algorithm based on Shearlet transform

针对传统变换域去噪算法的不足,提出一种基于Shearlet变换的图像去噪算法。该算法首先在Shearlet变换理论基础上实现了一种分解和重构的方法,然后用Monte-Carlo方法对高频系数进行估计,最后通过阈值函数进行收缩去噪。实验结果表明,该算法在抑噪和保持边缘的同时,取得了较好的视觉效果和更高的PSNR值。

According to the deficiency of de-noising algorithm based on the traditional transform domain,this paper proposed an image de-noising algorithm based on Shearlet transform.Firstly,a Shearlet decomposition and reconstruction implementation method was proposed in this paper.And then,the Monte-Carlo method was used to do estimation of the high-frequency coefficients.Finally the shrinkage de-noising would be done according to the threshold function.The experimental results demonstrate that the method can remove noise and remain edges,and obtain better visual effect and higher PSNR.