Generalized Cylinder with Geodesic and Line of Curvature Parameterizations

Authors : Nabil Althibany

Pages : 106-113

Doi:10.33401/fujma.1020437

View : 20 | Download : 10

Publication Date : 2022-06-01

Article Type : Research

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