Journals / Anadolu Üniversitesi Fen Fakültesi Dergisi / 2003 / Cilt: 0 - Sayı: 7

Making continuous surfaces using interpolation techniques on the 3-dimensional space

Üç boyutta interpolasyon yöntemiyle sürekli yüzeyler oluşturma

Pages
195–201
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

The software we developed for the implementation can be used on the map design (especially in cave mapping), 3-dimensional engineering application on surface modeling and computer animations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, a surface interpolation implementation was performed.
📊
Key Findings & Data:For this purpose, consecutive closed curves of various shapes, positions and orientations on the $R^3$ were combined to produce smooth, continuous surface.
💡
Conclusion & Impact:The software we developed for the implementation can be used on the map design (especially in cave mapping), 3-dimensional engineering application on surface modeling and computer animations.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, a surface interpolation implementation was performed. For this purpose, consecutive closed curves of various shapes, positions and orientations on the $R^3$ were combined to produce smooth, continuous surface. The software we developed for the implementation can be used on the map design (especially in cave mapping), 3-dimensional engineering application on surface modeling and computer animations.

Özet

Bu çalışmada, bir yüzey interpolasyonu uygulaması geliştirilmiştir. Bu amaçla, $R^3$ de değişik biçim, konum ve yönlenmelere sahip ardışık kapalı eğriler birleştirilmiş ve düzgün, sürekli bir yüzey oluşturulmuştur. Uygulama için geliştirilen yazılım, özellikle mağara olmak üzere haritacılıkta, 3-boyutlu yüzey modellemesi yapılan mühendislik uygulamaları ya da bilgisayar canlandırmalarında kullanılabilecektir.

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Cite This Article

CANBEK, S. (2022). Making continuous surfaces using interpolation techniques on the 3-dimensional space. Anadolu Üniversitesi Fen Fakültesi Dergisi, Cilt: 0 - Sayı: 7, 195–201. https://ajindex.com/articles/438623

References (4)

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  2. Cheney, W., Kincaid, D., Numerical Mathematics and Computing, Brooks / Cole Publishing Company, California, (1985)
  3. Yazıcı, A., Selbes, F., Numerical Analysis, Ortadoğu Teknik Üniversitesi, Ankara, (1989)
  4. Gonzales, R.C., & Wintz, P., Digital Image Processing, Addison-Wesley Publishing Company, 503 p., Second Edition, (1987).