In the reverse design of vehicle body, there are thousands of triangular topological networks. If input these large data into three-dimensional software directly, the ability of computer in display, analysis, saving, transferring, etc. can’t afford it. A quadratic-error-based edge collapse simplified algorithm for the surface reconstruction is researched. The algorithm takes the sum of squares of distance between point and correlation plane as error measure, makes repeated selective edge collapse, and realizes efficient simplification. The results show that the algorithm has high stability and efficiency.