中文摘要：

针对目前表面滤波方法中存在边界效应、缺乏多尺度性和最优小波函数选择等问题,在一维多分辨率奇异值分解（MSVD）的基础上,构造出二维MSVD,并提出基于MSVD的表面滤波方法。该方法具有多尺度性,不存在边界效应,并且不需要选择小波函数。仿真实验和实测表面数据表明,该方法与目前表面滤波方法的滤波效果相一致,适用于表面工程的评定。

英文摘要：

Recently, the way used to extract the surface evaluation reference existed some issues such as boundary effect,no multi-scale and the selection of wavelet basis function.Aimming at above problems,a theory called 1D multi-resolution singular value decomposition （MSVD） was introduced and a 2D MSVD was deduced.And a surface filtering method based on MSVD was provided according to the above theory.The filtering effectiveness has a good consistency with the existing surface filte- ring technology and this surface filtering is suitable to surface engineering evaluation.