针对现有算法大多对单一高斯噪声或脉冲噪声进行图像滤波的问题,在对二维图像平滑去噪的过程中,采用基于中值滤波和提升小波变换相结合的图像去噪方法。在中值滤波基础上,构造基于脉冲检测的中值滤波器,找出混合噪声中脉冲噪声并进行滤波;与此同时,对原始小波进行提升,构造提升小波,然后采用提升小波阈值去噪方法抑制高斯噪声。实验结果表明：采用本文方法,混合噪声得到有效抑制,去噪效果好。

Aiming at existing de-noising algorithms are often designed for removing single Gaussian noise or impulse noise, an efficient algorithm for mixed noise removal in image was proposed, including space impulse noise removal and wavelet Gaussian noise removal. Firstly, an impulse noise detection algorithm based on median filter was given to filter impulse, and at the same time a lifting wavelet was constructed by lifting original wavelet. Secondly, a threshold method based on lifting wavelet transform for image was applied to de-noising Gaussian noise. At last, simulations were conducted on the presented algorithm, and the simulation result shows that this algorithm can remove mixed Gaussian and impulse noise in image efficiently.