Implicit-implicit and parametric-implicit surface intersections in Euclidean n-space

被引：0
|
作者：
Düldül, Mustafa [1 ]
Özcetin, Bedia Merih [2 ]
机构：
[1] Istanbul Gelisim Univ, Fac Appl Sci, Dept Avion, Istanbul, Turkiye
[2] Yildiz Tech Univ, Sci & Arts Fac, Dept Math, Istanbul, Turkiye
来源：
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2023年 / 27卷 / 01期
关键词：
Curvatures; Frenet vectors; implicit curve; surface-surface in-tersection; transversal intersection; DIFFERENTIAL GEOMETRY; CURVES; HYPERSURFACES; CURVATURE; FORMULAS; R-4;
D O I：
10.12697/ACUTM.2023.27.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the intersection problem of two sur-faces in which at least one surface is given by its implicit equation in Euclidean n-space. We first obtain the curvatures of the transversal in-tersection curve of two implicit surfaces. Later, we study the transversal intersection of parametric-implicit surfaces in n-dimensional Euclidean space. Finally, we present examples as applications of the given methods.
引用
收藏
页码：29 / 45
页数：17
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