基于截面测量数据的B样条曲面重建  

B-spline Surface Reconstruction Based on Digitized Section Data

作　　者：张丽艳[1] 周来水[1] 蔡炜斌[1] 周儒荣[1] 

机构地区：[1]南京航空航天大学CAD/CAM工程研究中心,江苏南京210016

出　　处：《应用科学学报》2002年第2期173-177,共5页Journal of Applied Sciences

基　　金：国家自然科学基金资助项目 (5 990 5 0 13 );江苏省自然科学基金资助项目 (BK2 0 0 14 0 8);航空科学基金资助项目(98H5 2 0 95 )

摘　　要：研究了逆向工程中截面测量数据的 B样条曲面拟合问题 .结合二分法和最小二乘法 ,提出并实现了截面数据的 B样条曲面拟合算法 .该算法在满足指定精度的条件下 ,对测量数据有较大的压缩率 ,适合工程应用 .应用实例表明算法稳定、可靠、高效 .Digital model reconstruction based on coordinate measuring of existing physical objects is widely used in a variety of situations. The data obtained through popular measuring machines, such as laser scanners, are mostly digitized data organized in sections. In this paper, the problem of Bspline surface fitting based on digitized section data is addressed. An algorithm, which combined bisection and least square method, is put forward. The algorithm can greatly compress the digitized points and generate compact surface representation while satisfying the given tolerance. Examples in the paper show that the algorithm is effective and practical.

关 键 词：截面测量数据 B样条曲面 逆向工程 曲面重建 曲面拟合 二分法 最小二乘法 CAD 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O18[自动化与计算机技术—计算机科学与技术]