基于整体最小二乘法的点云线性拟合及比对方法研究  

Linear Fitting and Comparison Method of Point Cloud Based on Total Least Squares

作　　者：杨敏 

机构地区：[1]华东建筑设计研究院有限公司,上海

出　　处：《应用数学进展》2023年第9期3785-3793,共9页Advances in Applied Mathematics

摘　　要：为解决建筑测绘领域点云数据矢量转化及比对方式的缺失,以某大型展馆X展厅为测试数据,基于整体最小二乘法对点云数据进行线性拟合,采用拟合优度及显著性检验对拟合成果的可靠性进行校核,结果展示出良好的拟合效果。随后以Geomagic Control软件作为比对平台,通过最佳拟合、3D比较、2D比较等流程,形成专业的定制报告,上述形成一套完整的点云线性拟合及比对方法,为今后类似的项目提供参考借鉴。In order to solve the lack of vector transformation and comparison of point cloud data in the field of architectural surveying and mapping, Hall X of a large exhibition hall was taken as test data, and linear fitting of point cloud data was carried out based on the whole least square method, and the reliability of the pseudo-composite was checked by goodness of fit and significance test. The results showed a good fitting effect. Then, Geomagic Control software is used as the comparison platform to form a professional customized report through the best fitting, 3D comparison, 2D comparison and other processes, forming a complete set of point cloud linear fitting and comparison methods, which can provide references for similar projects in the future.

关 键 词：整体最小二乘法 拟合优度 显著性检验 Geomagic Control 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]