中文摘要：

为克服传统滤波法在去除高斯噪声时存在的不足,研究了一种基于平移不变小波变换的图像高斯噪声滤波算法,分析了小波分解函数、阈值系数及平移间距对滤波结果的影响。仿真试验表明,文中算法能够在去除噪声的同时较好的保持图像边缘,同时,峰值信噪比也较均值滤波法、小波软阈值和硬阈值等方法有所提高,是一种有效的高斯噪声图像滤波算法。

英文摘要：

To de-noise Gaussian noise of images,an image filtering algorithm based on translation invariance wavelet transformation was proposed to overcome shortcomings of classical image filtering algorithms.The influence of wavelet decomposition function,threshold coefficients and translation space on filtering result was also discussed.The simulation results indicate that the proposed algorithm can de-noise and retain the edge of image effectively;Meanwhile,the PSNR was also improved than that of mean filtering and wavelet soft/hard threshold filtering algorithms.It′s an effective Gaussain noise image filtering algorithm.