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

Year 2021, Volume: 70 Issue: 1, 555 - 568, 30.06.2021

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

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

Cited By: 1

https://izlik.org/JA92ZA68ZB

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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