二次有理B样条曲线曲率单调条件  

Curvature monotony condition Tor the quadratic rational B spline curves.

作　　者：李重[1] 韩丹夫[1] 

机构地区：[1]浙江大学数学系,浙江杭州310028

出　　处：《浙江大学学报（理学版）》2003年第1期23-26,共4页Journal of Zhejiang University（Science Edition）

基　　金：国家重点基础研究专项经费资助项目(批准号:G1998030401)

摘　　要：通过建立斜坐标系,简化计算过程,推导出了二次有理B样条曲线曲率的单调条件.并与二次有理B(?)zier曲线的曲率单调条件相比较,结果表明:二次有理B样条曲线曲率单调的充要条件与二次有理B(?)zier曲线相类似,但其条件又有不同.The curvature monotony condition for the quadratic rational B spline curve is derived by using the skew coordinate system that can reduces the calculation process. And the curvature monotony condition is compared to the quadratic rational Bezier curves'. The result shows that the sufficient and necessary condition of the quadratic rational B spline curve's curvature monotony is similar to the quadratic rational Bezier curves',but its condition is some what different from the quadratic rational Bezier curves'.

关 键 词：斜坐标系 曲率单调 二次有理B样条曲线 二次有理Bézier曲线 充要条件 

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]