数学形态学已经成为计算机图象处理的一个重要研究领域，并在遥感影像分析中得到了卓有成效的应用.将数学形态学的理论方法引入了建立数字高程模型 (DEM)的研究，提出了一种利用立体象对，自动匹配识别同名点并提取地表三维坐标，继而用数学形态变换建立 DEM的方法.该方法首先利用正交小波变换对影像进行分解、重建、特征提取，并利用影像与特征结合的匹配方法进行亚像素匹配 ;然后根据匹配得到离散的地面点数据，用形态变换的方法构建泰森多边形、Delaunay三角网 (TIN) ;最后内插成格网 DEM.试验证明，该方法具有数据结构简单、运算速度快、精度好等优点.

Mathematical morphology has already become the important research field of computer image processing, and it has been applied effectively in the remote sensing image analysis. This paper introduces mathematical morphology into the research of building DEM, provides a algorithm that those homologous points can be auto recognized from stereo images by using image matching and the 3D coordinates of ground points are extracted, then the DEM can be built by using morphologic transformation. The research injects new vigor into the arithmetic of auto building DEM. This paper discusses the method of using orthogonal wavelet to decompose and reconstruct a image?feature extraction and matching combining image and feature . The algorithm for auto building Thiessen polygon , Delaunay triangular net (TIN) and regular net (GRID) of DEM is presented with the discrete ground points from stereo matching . Experiments prove that this arithmetic has the virtue of simple data construction, high speed, efficient and high accurate.