典型文献
Planar Cubic Pythagorean-Hodograph Hyperbolic Curves
文献摘要：
The purpose of this paper is to develop a method to construct the Pythagorean-hodograph hyperbolic(PH-H)curves based on the good geometric properties of PH curves and algebraic hyperbolic curves.The definition of Pythagorean-hodograph hyperbolic curves is given and their properties are examined.By using hyperbolic basis functions and algebraic Bézier basis functions respectively,two different necessary and sufficient conditions for a planar cubic algebraic hyperbolic Bézier curve to be a PH curve are obtained.Moreover,cubic PH-H curves are applied in the problem of G1 Hermite interpolation with determined closed form solutions.Several examples serve to illustrate our method.
文献关键词：
中图分类号：
作者姓名：
Yongxia HAO;Lianxing LIAO
作者机构：
School of Mathematical Sciences,Jiangsu University,Jiangsu 212000,P.R.China
文献出处：
引用格式：
[1]Yongxia HAO;Lianxing LIAO-.Planar Cubic Pythagorean-Hodograph Hyperbolic Curves)[J].数学研究及应用,2022(02):206-220
A类：
Hodograph
B类：
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AB值：
0.566295
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