摘要
人们通常用有理三次曲线样条来构造整体曲率连续的曲线 .提出利用有理二次样条曲线插值整体曲率连续的曲线的一种方法 .首先导出了两相邻二次曲线段间曲率连续的拼接条件 ,然后提出了求解平面上一个闭的点列中每一点处的切线的最优算法 .
As for curvature continuity curves, they are usually constructed by means of rational cubic curves. A method for interpolating global curvature continuity curves with conic segments is presented in this paper. Firstly, the curvature continuity conditions between two adjacent rational quadratic curve segments are derived. Secondly, an optimal algorithm is presented for solving out the tangent lines at every points of a closed point set in a plane. Finally, several examples are given out to illustrate the effectiveness of this method.
出处
《软件学报》
EI
CSCD
北大核心
2001年第8期1190-1196,共7页
Journal of Software
基金
国家自然科学基金资助项目 (6 0 0 730 2 6
199710 79)
国家重点基础研究发展规划 973资助项目(G19980 30 6 0 0 )&&
