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Asynchronous Computing of a Discrete Voronoi Diagram on a Cellular Automaton Using 1-Norm: Application to Roadmap Extraction

Nassim Kaldé 1 Olivier Simonin 2 François Charpillet 1
1 MAIA - Autonomous intelligent machine
Inria Nancy - Grand Est, LORIA - AIS - Department of Complex Systems, Artificial Intelligence & Robotics
2 DYNAMID - Dynamic Software and Distributed Systems
CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : This article addresses the problem of computing a Voronoi diagram in a distributed fashion without any synchronization heuristic. To our knowledge, no previous work asynchronously solves this problem. We investigate a simple case of asynchronism and tackle this challenge in a decentralized fashion on a grid of communicating cells with a von Neumann neighborhood. We describe algorithms for extracting single site, area and pseudo line Voronoi diagrams. These algorithms are implemented and executed on maps in which we consider different kinds of sites defined as simple polygonal shapes to extract roadmaps.
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Conference papers
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https://hal.inria.fr/hal-01076951
Contributor : Nassim Kaldé Connect in order to contact the contributor
Submitted on : Thursday, October 23, 2014 - 3:28:50 PM
Last modification on : Saturday, October 16, 2021 - 11:26:07 AM

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  • HAL Id : hal-01076951, version 1

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Nassim Kaldé, Olivier Simonin, François Charpillet. Asynchronous Computing of a Discrete Voronoi Diagram on a Cellular Automaton Using 1-Norm: Application to Roadmap Extraction. IEEE International Conference on Tools with Artificial Intelligence (ICTAI), Nov 2014, Limassol, Cyprus. ⟨hal-01076951⟩

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