An approach for designing a surface pencil through a given geodesic curve

No Thumbnail Available

Date

2021-06-30

Journal Title

Journal ISSN

Volume Title

Publisher

Ankara Üniversitesi Fen Fakültesi

Abstract

In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. In addition, developablity along the common geodesic of the members of surface family are discussed. Finally, we illustrate this method by presenting some examples.

Description

Keywords

Geodesic curve, Rotation minimizing frame, Parametric surface

Citation