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中文摘要：
小波图像压缩及图像消噪算法近年来得到了广泛的重视和发展，其处理的核心部分就是图像的边缘，各种算法都会产生图像边缘的锯齿状震荡，即Gibbs现象。针对小波图像压缩中的振荡现象，首先应用Kirsch算子检测图像边缘，然后利用区域内像素灰度的相关性及小渡系数的相关性，提出一种基于小波变换的K邻域平均法，最后通过仿真及信噪比的比较说明了此算法的有效性和可行性。
英文摘要：
The algorithms of image compression and image denoising using wavelet have been widely concerned and studied. How to keep the image edges is the important problem in all the algorithms. However,the Gibbs phenomenon can be produced along with all kinds of image procession. In order to eliminate the oscillations and improve the reconstruction image quality,the article firstly detects edge of the image by using Kirsch operators, then presents the K neighborhood average algorithm-based according to dependence of the image pixels and the wavelet coefficients,and finally shows the feasible and efficient performance by simulation experiments and signal - to - noise ratio.
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