一种混合曲面散乱点云曲率计算方法  

Curvature estimation algorithm for scattered point cloud data

作　　者：杨荣华[1] 游扬声[1] 吴浩[2] 

机构地区：[1]重庆大学土木工程学院,重庆400030 [2]武汉理工大学资源与环境工程学院,武汉430070

出　　处：《测绘科学》2014年第6期129-131,125,共4页Science of Surveying and Mapping

基　　金：中央高校基本科研业务费新进优秀青年教师基金项目(0903005203182);国家自然科学基金项目(41174010)

摘　　要：针对局部点云曲面拟合过程中系数矩阵容易出现病态等问题,本文利用局部点云与切平面的夹角特性,对曲面拟合方程的权阵进行修正,并在此基础上,提出了基于三次曲面和四次曲面拟合的混合曲面散乱点云曲率计算方法,同时通过统计分析圆环面和球面的曲率计算值和真值差别,证实了该算法不仅精度高,且错误率低。In the paper, to solve the problem of ill-conditioned coefficient matrix in fitting local point cloud curve surface, weight matrix of the blending surface fitting equation was repaired using angle characteristics between local scattered point cloud and the tangent plane. Based on the repaired weight matrix, a new curvature estimation algorithm for scattered point cloud was proposed. Statistical comparison between true value and the estimated curvature for both torus and spherical surface showed that this algorithm would be more accurate with lower error rate compared with traditional methods.

关 键 词：地面三维激光扫描 曲率 散乱点集 局部曲面 

分 类 号：P235[天文地球—摄影测量与遥感] TP751[天文地球—测绘科学与技术]