摘要
推导出了五次毕达哥拉斯速端(PythagoreanHodograph ,PH)曲线的B啨ｚｉｅｒ控制点之间的几何关系,给出了构造符合Hermite插值条件的五次PH曲线的几何方法最终的五次PH曲线以B啨ｚｉｅｒ曲线形式给出 在此基础上,利用B啨ｚｉｅｒ控制点对曲线形状性质的影响,分析了符合Hermite插值条件的4条五次PH曲线与相同插值条件下的普通三次B啨ｚｉｅｒ曲线的相似性。
In this paper, geometric relationship among Bézier control points of PH(Pythagorean Hodograph) quintics is developed, which leading to a geometric method for Hermite interpolation by PH quintics. The resultant PH quintics are represented in a standard Bézier form. Additionally,according to the similarity to a Bézier curve of degree three with the same Hermite interpolation conditions, a geometric method for selecting the best curve in the resultant PH quintics is given as well.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2005年第5期990-995,共6页
Journal of Computer-Aided Design & Computer Graphics
基金
国家自然科学基金 ( 60 40 3 0 47)
国家"八六三"高技术研究发展计划( 2 0 0 3AA4Z3 110 )
国家重点基础研究发展规划项目( 2 0 0 2CB3 12 10 6)
留学回国人员科研启动基金( 0 415 0 10 0 4)
