On The Voronoi Diagram and Taxicab Plane

Ziya Akça; Ceyda Çalış

doi:10.18185/erzifbed.699158

TR EN

On The Voronoi Diagram and Taxicab Plane

Abstract

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

Keywords

References

[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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ziya Akça ^*
0000-0001-6379-0546
Türkiye

Ceyda Çalış
0000-0001-5267-4400
Türkiye

Publication Date

March 31, 2021

Submission Date

March 5, 2020

Acceptance Date

March 9, 2021

Published in Issue

Year 2021 Volume: 14 Number: 1

DOI

https://doi.org/10.18185/erzifbed.699158

IZ

https://izlik.org/JA88PK46WG

Cite

RIS / Bibtex

APA

Akça, Z., & Çalış, C. (2021). On The Voronoi Diagram and Taxicab Plane. Erzincan University Journal of Science and Technology, 14(1), 175-181. https://doi.org/10.18185/erzifbed.699158

AMA

1.Akça Z, Çalış C. On The Voronoi Diagram and Taxicab Plane. Erzincan University Journal of Science and Technology. 2021;14(1):175-181. doi:10.18185/erzifbed.699158

Chicago

Akça, Ziya, and Ceyda Çalış. 2021. “On The Voronoi Diagram and Taxicab Plane”. Erzincan University Journal of Science and Technology 14 (1): 175-81. https://doi.org/10.18185/erzifbed.699158.

EndNote

Akça Z, Çalış C (March 1, 2021) On The Voronoi Diagram and Taxicab Plane. Erzincan University Journal of Science and Technology 14 1 175–181.

IEEE

[1]Z. Akça and C. Çalış, “On The Voronoi Diagram and Taxicab Plane”, Erzincan University Journal of Science and Technology, vol. 14, no. 1, pp. 175–181, Mar. 2021, doi: 10.18185/erzifbed.699158.

ISNAD

Akça, Ziya - Çalış, Ceyda. “On The Voronoi Diagram and Taxicab Plane”. Erzincan University Journal of Science and Technology 14/1 (March 1, 2021): 175-181. https://doi.org/10.18185/erzifbed.699158.

JAMA

1.Akça Z, Çalış C. On The Voronoi Diagram and Taxicab Plane. Erzincan University Journal of Science and Technology. 2021;14:175–181.

MLA

Akça, Ziya, and Ceyda Çalış. “On The Voronoi Diagram and Taxicab Plane”. Erzincan University Journal of Science and Technology, vol. 14, no. 1, Mar. 2021, pp. 175-81, doi:10.18185/erzifbed.699158.

Vancouver

1.Ziya Akça, Ceyda Çalış. On The Voronoi Diagram and Taxicab Plane. Erzincan University Journal of Science and Technology. 2021 Mar. 1;14(1):175-81. doi:10.18185/erzifbed.699158