中文摘要：

小波变换在信号分析、计算机视觉、视频图像分析、CT图像和地震勘测等领域有广泛应用，在变形光栅图像处理中可用以滤除噪声和消除频谱混叠等。介绍并实现了小波变换滤除噪声、消除频谱混叠的原理和实现过程。采用光栅三维扫描仪获取铁路导轨的光栅图像，点云拼接后对数据、图像进行对比分析。实验结果表明：传统的傅立叶变换拼接后的图像平均偏差为0．873mm、表面毛刺多和容易混叠；与传统的傅立叶变换相比，小波变换对光栅图像处理具有平均偏差降低了0．301mm、图像表面毛刺少和混叠减少的明显优点。

英文摘要：

Wavelet transform is widely used in signal analysis, computer vision, video image analysis, CT Image and earthquake survey, and the key problem is to filtering noise and eliminating spectrum aliasing. It introduces filtering noise and eliminating spectrum aliasing of wavelet transform ,and Algorithm principle and realizing procedure are thoroughly explained. Raster image of lathe guideway are collected by grating projection 3 D scanning instrument, and the image are compared and analysed after point clouds registration . It indicates that wavelet trans- form has adavantages of average deviation decreased by 0. 301 mm, image surface burr become less and aliasing reduced comparing to the traditional fourier transform whose average deviation is 0. 873 mm and its image surface burr became more and easily became aliasing in dealing with raster image.