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  • A frequent task in transportation, routing, robotics, and communications applications is to find the shortest path between two positions. In robot motion planning, the robot should pass around the obstacles touching none of them, i.e. the goal is to find a collision-free path from a starting to a target position. Research of path planning has yielded many fundamentally different approaches to its solution, mainly based on various decomposition and roadmap methods. In this paper, we show a possible use of geometric data structures in point-to-point motion planning in the Euclidean plane and present an approach using generalised Voronoi diagrams that decreases the probability of collisions with obstacles and generate smooth trajectories. The second application area, investigated here, is focused on problems of finding minimal networks connecting a set of given points in the Euclidean plane and their approximations using the Delaunay triangulation.
  • A frequent task in transportation, routing, robotics, and communications applications is to find the shortest path between two positions. In robot motion planning, the robot should pass around the obstacles touching none of them, i.e. the goal is to find a collision-free path from a starting to a target position. Research of path planning has yielded many fundamentally different approaches to its solution, mainly based on various decomposition and roadmap methods. In this paper, we show a possible use of geometric data structures in point-to-point motion planning in the Euclidean plane and present an approach using generalised Voronoi diagrams that decreases the probability of collisions with obstacles and generate smooth trajectories. The second application area, investigated here, is focused on problems of finding minimal networks connecting a set of given points in the Euclidean plane and their approximations using the Delaunay triangulation. (en)
Title
  • Geometric Data Structures Approximations for Network Optimisation
  • Geometric Data Structures Approximations for Network Optimisation (en)
skos:prefLabel
  • Geometric Data Structures Approximations for Network Optimisation
  • Geometric Data Structures Approximations for Network Optimisation (en)
skos:notation
  • RIV/00216305:26210/09:PU86334!RIV10-MSM-26210___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/09/1680), Z(MSM0021630518)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 316324
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26210/09:PU86334
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • motion planning, spanning tree, Steiner tree, Delaunay triangulation, Voronoi diagram (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [E0BDA1C116F9]
http://linked.open...v/mistoKonaniAkce
  • La Laguna, Tenerife, Canary Islands
http://linked.open...i/riv/mistoVydani
  • La Laguna
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 11th WSEAS International Conference on Mathematical Methods, Computational Techniques & Intelligent Systems MAMECTIS '09
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Březina, Tomáš
  • Šeda, Miloš
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • WSEAS Press
https://schema.org/isbn
  • 978-960-474-094-9
http://localhost/t...ganizacniJednotka
  • 26210
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