A Linear-Time Algorithm for the Geodesic Center of a Simple Polygon

Author:

Ahn Hee-Kap,Barba Luis,Bose Prosenjit,De Carufel Jean-Lou,Korman Matias,Oh Eunjin

Funder

National Research Foundation of Korea (KR)

National Institutes of Natural Sciences (JP)

Publisher

Springer Science and Business Media LLC

Subject

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

Reference28 articles.

1. Aronov, B.: On the geodesic Voronoi diagram of point sites in a simple polygon. Algorithmica 4(1–4), 109–140 (1989)

2. Aronov, B., Fortune, S., Wilfong, G.: The furthest-site geodesic Voronoi diagram. Discrete Comput. Geom. 9(1), 217–255 (1993)

3. Asano, T., Toussaint, G.: Computing the geodesic center of a simple polygon. Technical Report SOCS-85.32, McGill University (1985)

4. Bae, S.W., Korman, M., Mitchell, J.S.B., Okamoto, Y., Polishchuk, V., Wang, H.: Computing the L1 geodesic diameter and center of a polygonal domain. In: Ollinger, N., Vollmer, H. (eds) 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016). Leibniz International Proceedings in Informatics (LIPIcs), vol. 47, pp. 14:1–14:14. Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, Dagstuhl (2016). ISBN 978-3-95977-001-9

5. Bae, S.W., Korman, M., Okamoto, Y.: The geodesic diameter of polygonal domains. Discrete Comput. Geom. 50(2), 306–329 (2013)

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