中文摘要：

图像去噪问题是一个古老的难题，也是当前研究的热点问题，而图像小波去噪算法在图像去噪方面虽然已取得了一定进步，但在这一领域仍然有许多问题需要研究，为了进一步提高图像去噪质量，改善图像视觉效果。在此通过在小波阀值萎缩法、基于混合模型的小波去噪法、小波去噪与其他算法相结合的三类方法中分别选用了三种典型算法即Visush—rink法、基于高斯混合模型小波去噪法、中值滤波与小波去噪相结合的算法，对当前基于小波变换图像去噪这三类典型问题进行了研究。研究表明对于单一的噪声，用相应某种算法，就可能取得较理想效果。而对于混合噪声，单独的一种算法取得的效果是比较差的，只有采用几种算法相结合才能取得较好的效果，因而在此也为图像去噪指明了以后的研究方向。

英文摘要：

Image denoising is an old problem, but a hot topic of current research. The image wavelet denoising algorithm has achieved some progress, but many problems still need to be solved in this area. In order to further improve the denoising quality and improve the image visual effects, three typical algorithms （VisuShrink algorithm, wavelet denoising method based on Gauss mixture model, and algorithm combining median filtering with wavelet denoising） are selected respectively from three methods： wavelet threshold shrinkage denoising method, wavelet denoising method based on mixture model, and combination of wavelet denoising algorithm and other algorithms. The current typical three types of image denoising methods based on wavelet transform are studied. The study result shows that, for a single noise, the corresponding some algorithm is possible to achieve ideal effect; for the mixed noise, only by combining several algorithms, can better results be achieved, since a single algorithm＇s effect is relatively poor. Therefore, the direction of the future development of image denoising research is pointed out in this paper.