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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

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

Gülnur Şaffak Atalay(ONDOKUZ MAYIS UNIVERSITY)0000-0003-4168-1642
Fatma Güler(ONDOKUZ MAYIS UNIVERSITY)0000-0002-5107-8436
Ergin Bayram(ONDOKUZ MAYIS UNIVERSITY)0000-0003-2633-0991
Emin Kasap(ONDOKUZ MAYIS UNIVERSITY)0000-0002-5017-5170
Pages
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Publication Date
2021-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we illustrate this method by presenting some examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it.
📊
Key Findings & Data:Also, we analyze the conditions when the resulting surface is a ruled surface.
💡
Conclusion & Impact:Finally, we illustrate this method by presenting some examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geodesic curve · rotation minimizing frame · parametric surface

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.

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Cite This Article

Atalay, G. Ş., Güler, F., Bayram, E., Kasap, E. (2021). An approach for designing a surface pencil through a given geodesic curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.798620

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