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Traffic and Granular Flow '11 pp 251–261Cite as

Geodesics and Shortest Paths Approach in Pedestrian Motions

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Abstract

We revisit existing ideas on the eikonal equation and combine them with a discrete Lagrangian description. Some preliminary numerical tests are reported.

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Author information

Authors and Affiliations

  1. Laboratoire Dieudonné, UMR CNRS 6621 and University of Nice, Parc Valrose, 06108, Nice Cedex 2, France

    B. Nkonga & Michel Rascle

  2. Laboratoire Espace, UMR CNRS 6012 and University of Nice, 3209, 06204, Nice Cedex 3, France

    F. Decoupigny & G. Maignant

Authors
  1. B. Nkonga
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  2. Michel Rascle
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  3. F. Decoupigny
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  4. G. Maignant
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Corresponding author

Correspondence to B. Nkonga .

Editor information

Editors and Affiliations

  1. Institute of Computer Science, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    Valery V. Kozlov

  2. Moscow State Automobile & Road Technical University, Moscow, Russia

    Alexander P. Buslaev

  3. Russian Academy of Sciences, Electronics Institute and Kotel’nikov Radioengineeering, Moscow, Russia

    Alexander S. Bugaev

  4. Mathematical Cybernetics Department, Moscow Technical University of Communications & Informatics, Moscow, Russia

    Marina V. Yashina

  5. Universität Köln, Institut Theoretische Physik, Köln, Germany

    Andreas Schadschneider

  6. und Verkehr, Universität Duisburg-Essen Physik von Transport, Duisburg, Germany

    Michael Schreckenberg

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Nkonga, B., Rascle, M., Decoupigny, F., Maignant, G. (2013). Geodesics and Shortest Paths Approach in Pedestrian Motions. In: Kozlov, V., Buslaev, A., Bugaev, A., Yashina, M., Schadschneider, A., Schreckenberg, M. (eds) Traffic and Granular Flow '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39669-4_24

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