Poisson基函数与Poisson曲线  

Poisson basis functions and Poisson curves

作　　者：应惠芬[1] 

机构地区：[1]杭州万向职业技术学院,浙江杭州310023

出　　处：《浙江师范大学学报（自然科学版）》2007年第3期272-276,共5页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：超越曲线是几何造型和工业设计中经常用到的一类曲线,但不能被Bézier曲线和B样条曲线精确地表示.研究了Poisson基函数和Posison曲线的性质,它们分别类似于Bernste in基函数和Bézier曲线;利用Poisson曲线优良的几何与代数性质,将几种常见的超越曲线表示为Poisson曲线的形式.Transcendental curve is a class of curves widely used in geometric modeling and industry design. However, they cannot be exactly represented by Bézier curve and B-spline curve. There were investigated the properties of Poisson basis functions and the corresponding Poisson curves, which were similar to Bernstein basis functions and Bézier curves respectively. Based on the excellent geometric and algebraic properties of Poisson curves, some common transcendental curves were expressed as Poisson-type curves.

关 键 词：Poisson曲线 超越曲线 精确表示 离散 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]