On the Computation of Zone and Double Zone Diagrams

Author:

Reem Daniel

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference59 articles.

1. Asano, T., Kirkpatrick, D.: Distance trisector curves in regular convex distance metrics. In: Gavrilova, M.L. (ed.) Proceedings of the 3rd International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2006), pp. 8–17. IEEE Computer Society, Los Alamitos (2006)

2. Asano, T., Matoušek, J., Tokuyama, T.: Zone diagrams: existence, uniqueness, and algorithmic challenge. SIAM J. Comput. 37(4), 1182–1198 (2007). A preliminary version in SODA 2007, pp. 756–765

3. Asano, T., Tokuyama, T.: Drawing equally-spaced curves between two points. In: Abstracts of the 14th Annual Workshop on Computational Geometry with a Focus on Open Problems, pp. 24–25. Massachusetts Institute of Technology, Cambridge (2004)

4. Asano, T., Matoušek, J., Tokuyama, T.: The distance trisector curve. Adv. Math. 212(1), 338–360 (2007). A preliminary version in STOC 2006, pp. 336–343

5. Aurenhammer, F.: Voronoi diagrams—a survey of a fundamental geometric data structure. ACM Comput. Surv. 23(3), 345–405 (1991)

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