Approximation of conic section by quartic Bzier curve with endpoints continuity condition  

作　　者：LIU Yu XU Chen-dong 

机构地区：[1]Faculty of Science, Ningbo University, Ningbo 315211, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2017年第1期1-13,共13页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NSF of China(11101230 and 11371209)

摘　　要：A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the conic section and the approximation curve, and show that the error bounds have the approximation order of eight. Furthermore, our method yields quartic G2 continuous spline approximation of conic section when using the subdivision scheme,and the effectiveness of this method is demonstrated by some numerical examples.A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the conic section and the approximation curve, and show that the error bounds have the approximation order of eight. Furthermore, our method yields quartic G2 continuous spline approximation of conic section when using the subdivision scheme,and the effectiveness of this method is demonstrated by some numerical examples.

关 键 词：conic continuity Hausdorff approximate Approximation circular interpolation coordinates graphics symmetric 

分 类 号：O186.11[理学—数学]