ON THE GEOMETRY OF RATIONAL BEZIER CURVES

被引：2
|
作者：
Ceylan, Ayse Yilmaz [1 ]
Turhan, Tunahan [2 ]
Tukel, Gozde Ozkan [3 ]
机构：
[1] Akdeniz Univ, Dept Math, Antalya, Turkey
[2] Suleyman Demirel Univ, Dept Math & Sci Educ, Isparta, Turkey
[3] Isparta Univ Appl Sci, Isparta, Turkey
来源：
HONAM MATHEMATICAL JOURNAL | 2021年 / 43卷 / 01期
关键词：
Darboux frame field; Geodesic curvature; Rational Bezier curve; 2-sphere;
D O I：
10.5831/HMJ.2021.43.1.88
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to assign a movable frame to an arbitrary point of a rational Bezier curve on the 2-sphere S-2 in Euclidean 3-space R-3 to provide a better understanding of the geometry of the curve. Especially, we obtain the formula of geodesic curvature for a quadratic rational Bezier curve that allows a curve to be characterized on the surface. Moreover, we give some important results and relations for the Darboux frame and geodesic curvature of a such curve. Then, in specific case, given characterizations for the quadratic rational Bezier curve are illustrated on a unit 2-sphere.
引用
收藏
页码：88 / 99
页数：12
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