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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
An approach for designing a surface pencil through a given geodesic curve

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

Authors : Gülnur ŞAFFAK ATALAY, Fatma GÜLER, Ergin BAYRAM, Emin KASAP

Pages : 555-568

Doi:10.31801/cfsuasmas.798620

View : 39 | Download : 18

Publication Date : 2021-06-30

Article Type : Research Paper

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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