Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 14 - Sayı: 1

On The Voronoi Diagram and Taxicab Plane

Voronoi Diyagramı ve Taksi Düzlemi Üzerine

Pages
175–181
Publication Date
2021-03-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

In this work, Voronoi diagrams, Fortune algorithm and Voronoi diagrams in the Taxicab plane are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, Voronoi diagrams, Fortune algorithm and Voronoi diagrams in the Taxicab plane are investigated.
📊
Key Findings & Data:In this work, Voronoi diagrams, Fortune algorithm and Voronoi diagrams in the Taxicab plane are investigated.
💡
Conclusion & Impact:In this work, Voronoi diagrams, Fortune algorithm and Voronoi diagrams in the Taxicab plane are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Voronoi diagramları · Taksi düzlem geometri · Fortune algoritması

Abstract

In this work, Voronoi diagrams, Fortune algorithm and Voronoi diagrams in the Taxicab plane are investigated.

Özet

Bu çalışmada, Voronoi diyagramları, Fortune Algoritması ve Taksi düzlemde Voronoi diyagramları incelenmiştir.

🔖

Cite This Article

AKÇA, Z., ÇALIŞ, C. (2021). On The Voronoi Diagram and Taxicab Plane. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 14 - Sayı: 1, 175–181. https://ajindex.com/articles/234275

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Akça Z, Kaya R, On the taxicab trigonometry, J. of Inst. Math. Comput. Sci. Math. Ser., vol. 10, no. 3, pp. 151--159, Apr. 1997
  2. Bayar A., Ekmekçi, S, On Complex Numbers and Taxicab Plane, Mathematical Sciences & Applications E-Notes, vol. 3, no. 1, pp. 58--64, 2015
  3. Bayar A., Kaya R., On the Taxicab Distance On a Sphere, Missouri Journal of Mathematical Sciences, pp. 41-51, 2005
  4. Çalış C., Taksi Düzlemde Voronoi Diyagramları Üzerine, Yüksek Lisans Tezi. Esk. Osmangazi Üni. Fen Bil. Ens., p. 60, 2019
  5. Ekici C.,, Kocayusufoğlu İ., Akça Z, The norm in taxicab geometry, Turkish J. Math., vol. 22, no. 3, pp. 295--307, 1998
  6. Ekmekçi, S. Taksi çemberleriyle ilgili özellikler, Doktora Tezi. Esk. Osmangazi Üni. Fen Bil. Ens., pp. 5-11, 2001
  7. Fortune Steven, A sweepline algorithm for Voronoi diagrams, Algorithmica 2:153-174, 1987
  8. Horn, M. ve J. Weber, Computational Geometry Lecture Notes Voronoi Diagrams. URL: cs.princeton.edu, 2004
  9. Kaya R, Akça Z, Özcan M., Günaltılı İ., General equation for taxicab conics and their classification, Mitt. Math. Ges. Hamburg, vol. 19, no. 0, pp. 135--148, 2000
  10. Miu, A. Computatonal Geometry, Lecture 7: Voronoi Diagrams, 2001
  11. Özcan M., Ekmekçi, S, Bayar A., The Taxicab Lengths under Rotations, The Pi Mu Epsilon Journal, pp. 381--384, 2002
  12. Özbek, B., İki ve Üç Boyutlu Cisimlerin Voronoi Diyagramlarının Çıkarılması ve Delaunay Mozaiklemesinin Gerçekleştirilmesi. YL. Ankara Üniversitesi Fen Bilimleri Enstitüsü, 2010
  13. Toma.L. Computational Geometry. Bowdin College, 2010
  14. Vassilev, S. ve B. Eades, Generalions of the Voronoi Diagram. American Journal of Computational and Applied Mathematics, pp. 91-96, 2013.