一种用双圆弧逼近空间曲线的方法及误差估计  

A Method of Aproximation of Space Curve in Space with Biarc Spline and the Estimation of Error

作　　者：陈建兰[1] 

机构地区：[1]杭州电子工业学院文理分院,浙江杭州310037

出　　处：《杭州电子工业学院学报》2001年第1期17-21,共5页Journal of Hangzhou Institute of Electronic Engineering

摘　　要：本文将双圆弧形逼近平面曲线拓广成逼近空间曲线 ,得到给定空间R3 中的两点及其单位矢量的双圆弧形式 ,并给出双圆弧逼近空间曲线时的误差估计 ,在数控加工及船体放样中有一定的实用价值。This paper is about the generalization of approximation spline estended in plane to space.The biarc spline is generated through two given points and two given vectors in R3,and the estimation of error is given about the approximation of curve in space with biarc spline.The result is useful in numerical-control and mathematical ship lofting.

关 键 词：样条曲线 双圆弧逼近 误差估计 空间曲线 

分 类 号：O174.41[理学—数学]