Generalized Cylinder with Geodesic and Line of Curvature Parameterizations

Year 2022, Volume: 5 Issue: 2, 106 - 113, 01.06.2022

Nabil Althibany

https://doi.org/10.33401/fujma.1020437

Abstract

Constructing a surface with geodesic or line of curvature parameterization is an important problem in many practical applications. The present paper aims to design a generalized cylinder that is parametrized along the geodesics and lines of curvature curves in Euclidean 3- space. The main results show that the generalized cylinder with geodesic or line of curvature parameterization is a rectifying cylinder or a right cylinder respectively.

Keywords

Generalized cylinder, Geodesic, Line of curvature, Parameterization

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