On geometric Hermite arcs

被引：0
作者：
Juhasz, Imre [1 ]
机构：
[1] Univ Miskolc, Dept Descript Geometry, Miskolc, Hungary
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2015年 / 45卷
关键词：
Hermite arc; geometric constraint; pencil of conincs;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A geometric Hermite arc is a cubic curve in the plane that is specified by its endpoints along with unit tangent vectors and signed curvatures at them. This problem has already been solved by means of numerical procedures. Based on projective geometric considerations, we deduce the problem to finding the base points of a pencil of conics, that reduces the original quartic problem to a cubic one that easier can exactly be solved. A simple solvability criterion is also provided.
引用
收藏
页码：61 / 68
页数：8
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