Optimal Rational Parameterization of Quadratic Curves Based on the Geographic Information of Both Ends

作     者：DUAN Yuan JIANG Li LI Dan LI Yu-rong 

作者机构：School of Information Science and Engineering Shandong Normal University School of Computer Science and Technology Shandong Institute of Business and Technology 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2014年第24卷第4期

页      码：44-48页

摘      要：In this paper, we rewrote the equation of algebraic curve segmentswith the geometric informationonboth ends. The optimal or nearly optimal rationalparametric equation is determinedbythe principle that parametricspeedsat both endsareequal. Comparing withotherliteratures, the methodofthis paper has advantage in efficiency andiseasy to realize. The equation of optimal rational parameterization can be obtained directly by the information of both ends. Large numbers ofexperimental data show that our method hasbeen given withmore self-adaptability and accuracy than that ofotherliteratures, and if the parametricspeedat any end reaches its maximum or minimum value, the parameterization is optimal; otherwise itis close tooptimal rational parameterization.

主 题 词：algebraic curve parametric curve optimal parameterization arc-length parameterization 

学科分类：070801[070801] 07[理学] 081203[081203] 08[工学] 0708[理学-地球物理学类] 0816[工学-纺织类] 0835[0835] 0812[工学-测绘类] 

D　O　I：10.19583/j.1003-4951.2014.04.008

馆 藏 号：203494097...