一种基于二维局部Lagrange插值的曲面重构算法  

A algorithm of surface reconstruction based on 2D local Lagrange interpolation

作　　者：熊邦书[1] 吴铮[2] 俞华璟[2] 

机构地区：[1]南昌航空工业学院测控系,江西南昌330034 [2]西北工业大学电子工程系,陕西西安710072

出　　处：《西安工程科技学院学报》2003年第2期138-141,共4页Journal of Xi an University of Engineering Science and Technology

基　　金：江西省测试技术与控制工程研究中心开放基金(No.2002-14)

摘　　要：在拉格朗日插值理论的基础上,给出了一种基于局部二维拉格朗日插值的曲面重构算法,并讨论了重构曲面的连续性,从理论上保证了重构曲面的光滑性.为了更好地评价此算法的性能,选择可用数学表达式表达的曲面作为重构对象.实验结果表明:此算法在保证重构精度的前提下,减少了重构的时间.A surface reconstruction algorithm based on 2D local Lagrange interpolation (2DLLSR) was presented. It is proved that the constructed surface is smoothed in theory. To evaluate the effectiveness of the algorithms, a mathematically known surface was used to generate a number of samples to be severed as known points of 2DLLSR. The experiment results show that the precision of 2DLLSR is higher as well as the speed of reconstruction is faster. 

关 键 词：曲面重建 逆向工程 二维局部Lagrange插值 曲面重构算法 拉格朗日插值理论 光滑性 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O174.42[自动化与计算机技术—计算机科学与技术]