Intersection curve of two parametric surfaces in Euclidean n-space

  • Mustafa Düldül Yildiz Technical University
  • Merih Özçetin Yildiz Technical University
Keywords: surface-surface intersection, transversal intersection, Frenet vectors, curvatures

Abstract

The aim of this paper is to study the differential geometric properties of the intersection curve of two parametric surfaces in Euclidean n-space. For this aim, we first present the mth order derivative formula of a curve lying on a parametric surface. Then, we obtain curvatures and Frenet vectors of the transversal intersection curve of two parametric surfaces in Euclidean n-space. We also provide computer code produced in MATLAB to simplify determining the coefficients relative to Frenet frame of higher order derivatives of a curve.

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Author Biographies

Mustafa Düldül, Yildiz Technical University

Department of Mathematics

Merih Özçetin, Yildiz Technical University

Department of Mathematics

Published
2021-11-17
Section
Articles