基于散乱点的局部n次曲面拟合及其曲率计算  

LOCAL N-TH ORDER SURFACE FITTING AND CURVATURE ESTIMATION BASED ON SCATTERED-POINT CLOUD DATA

作　　者：杨荣华[1] 花向红[2] 游扬声[1] 

机构地区：[1]重庆大学土木工程学院,重庆400030 [2]武汉大学测绘学院,武汉430079

出　　处：《大地测量与地球动力学》2013年第3期141-143,157,共4页Journal of Geodesy and Geodynamics

基　　金：中央高校基本科研业务费(0903005203182;0218005208005);国家自然科学基金(41174010)

摘　　要：针对三角网点云几何信息提取算法精度不高和散乱点云高次局部曲面拟合曲率计算程序复杂,在局部点集参数化基础上,推导了局部n次曲面拟合快速计算公式及其曲率计算公式,并通过实例比较了二次、三次、四次拟合曲面的曲率计算精度,证实了该理论公式不仅方便编程实现,且能保证计算精度。According to the poor precision of the triangular meshes geometry information extraction and the complicated local high-order surface fitting program of the scattered point cloud, the local n-th order surface fast fitting method and its curvature estimation formulas are deduced, which are on basis of the parametric local point cloud data, and the curvature calculation accuracy of the local quadric, cubic and fourth surface fitting has been compared by two practical examples. The comparison results verify that the theoretical formula is not only convenient to programming implementation, but also can ensure the calculation accuracy.

关 键 词：曲率 拟合 散乱点集 局部曲面 欧几里德距离 

分 类 号：P228.41[天文地球—大地测量学与测量工程]