中文摘要：

首先采用Haar小波滤波器,设计出一种数字Shearlet变换算法。然后对Shearlet系数间的相关性进行统计分析,提出了一种尺度相关的自适应阈值收缩图像去噪算法。最后选用峰值信噪比和视觉质量为评价标准,实验验证算法的去噪性能。结果表明,本文算法获得更高的峰值信噪比,更好地保留了图像的细节信息。

英文摘要：

Firstly,a digital shearlet transform is designed by Haar wavelet filter.And then,correlation of shearlet coefficients is statistically analyzed,and an adaptive threshold shrinkage denoising algorithm is proposed.Lastly,the experiments is carried out to make comparasion with wavelet and shearlet denoising method using peak signal to noise rate（PSNR）.The experimental results show the proposed algorithm can achieve the high PSNR value.Meanwhile,the textures and edges can be preserved better,and the denoised image is satisfied with visual quality.