H-Bézier曲线的降阶逼近  

Degree Reduction of H-Bézier curves

作　　者：陈永琴[1] 杨军[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2010年第2期63-66,共4页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：南昌航空大学科研基金项目"自由曲面离散适型关键技术研究"(EA200907180)

摘　　要：文章讨论了n次H-Bézier曲线在Cr,s(r,s≥0)约束条件下的最佳平方降阶逼近问题,给出了新的降阶逼近曲线的控制顶点的具体表达形式,计算了降阶逼近曲线的误差。通过实例表明,此方法可以得到逼近效果较好的H-Bézier降阶曲线。We focus on the problem of degree reduction of H - B6zier curves of degreen with Cr,s（r,s≥0） constraints based on the best least squares approximation. The explicit expression of new control points of the curve after degree reduction is presented, and several numerical examples of error estimation are given. Through the sample,it is concluded that this method can get a better reduction effect.

关 键 词：H-Bézier曲线 降阶 最佳平方逼近 

分 类 号：O187.1[理学—数学]