Publication detail
Applications of Computational Geometry
ŠEDA, M.
Czech title
Aplikace počítačové geometrie
English title
Applications of Computational Geometry
Type
conference paper
Language
en
Original abstract
This paper deals with fundamental structures of computational geometry, the Voronoi diagram, and its geometric dual, the Delaunay triangulation. It surveys basic properties, algorithms for their construction and typical applications in network optimisation (Euclidean minimum spanning tree, Euclidean minimum Steiner tree) and robot motion planning in the plane with obstacles.
Czech abstract
Příspěvek se zabývá základními strukturami počítačové geometrie – Voronoiovým diagramem a jeho geometricky duální strukturou Delaunayho triangulací. Shrnuje základní vlastnosti, algoritmy jejich konstrukce a typické aplikace v oblasti síťové optimalizace minimální kostra grafu, Steinerův minimální strom v euklidovské rovině) a v plánování pohybu robotu ve scéně s překážkami.
English abstract
This paper deals with fundamental structures of computational geometry, the Voronoi diagram, and its geometric dual, the Delaunay triangulation. It surveys basic properties, algorithms for their construction and typical applications in network optimisation (Euclidean minimum spanning tree, Euclidean minimum Steiner tree) and robot motion planning in the plane with obstacles.
Keywords in Czech
počítačová geometrie, Delaunayho triangulace, Voronoiův diagram, minimální kostra grafu, Steinerův minimální strom v euklidovské rovině, plánování pohybu robotu
Keywords in English
computational geometry, Delaunay triangulation, Voronoi diagram, Euclidean minimum spanning tree, Euclidean minimum Steiner tree
RIV year
2007
Released
01.09.2007
Publisher
University of Maribor, Faculty of Electrical Engineering and Computer Science
Location
Maribor (Slovenia)
ISBN
978-961-248-054-7
Book
Proceedings of CEEPUS WEB Summer School 2007 - "Information Systems in Automation"
Pages from–to
1–6
Pages count
6
BIBTEX
@inproceedings{BUT28075,
author="Miloš {Šeda},
title="Applications of Computational Geometry",
booktitle="Proceedings of CEEPUS WEB Summer School 2007 - "Information Systems in Automation"",
year="2007",
month="September",
pages="1--6",
publisher="University of Maribor, Faculty of Electrical Engineering and Computer Science",
address="Maribor (Slovenia)",
isbn="978-961-248-054-7"
}