平面NURBS曲线的等距线算法——圆弧法矢近似法  

ARC-NORMAL VECTOR APPROXIMATION OF OFFSET CURVES OF PLANE NURBS CURVES

作　　者：姜寿山[1] 刘雄伟[2] 

机构地区：[1]西安工业学院,西安710000 [2]西北工业大学,西安710072

出　　处：《计算机辅助设计与图形学学报》1993年第2期95-101,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：航空科学基金

摘　　要：本文根据产生曲线的特征点与它的等距线的特征点的对应关系,给出了一种平面NURBS曲线的等距线表示方法——圆弧法矢近似法。这种方法的特点是:(1)等距线与产生曲线具有统一的NURBS表示;(2)计算简单、几何意义明确、近似精度高。On the basis of the one- to-one correspondence of the characteristic points of the offset curve from a given generator curve with those of the generator, this paper presents the arc-normal vector approximation of offset curves of plane NURBS curves. This method has the following advantages: (1) The offset curve and its generator have a united NURBS representation; (2) Its computation is simple,geometric property is apparant and approximating precision is high.

关 键 词：NURBS 曲线 等距线 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]