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

Year 2021, , 555 - 568, 30.06.2021

Gülnur Şaffak Atalay , Fatma Güler , Ergin Bayram , Emin Kasap

https://doi.org/10.31801/cfsuasmas.798620

Cited By: 1

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.

Keywords

Geodesic curve, rotation minimizing frame, parametric surface

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