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Spatial Indexes for Simplicial and Cellular Meshes

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Book cover New Trends in Databases and Information Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 241))

Abstract

We address the problem of performing spatial and topological queries on simplicial and cellular meshes. These arise in several application domains including 3D GIS, scientific visualization and finite element analysis. Firstly, we present a family of spatial indexes for tetrahedral meshes, that we call tetrahedral trees. Then, we present the PR-star octree, that is a combined spatial data structure for performing efficient topological queries on simplicial meshes. Finally, we propose to extend these frameworks to arbitrary dimensions and to larger class of meshes, such as non-simplicial meshes.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Bioengineering, Robotics and System Engineering, University of Genova, Genova, Italy

    Riccardo Fellegara

Authors
  1. Riccardo Fellegara
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Correspondence to Riccardo Fellegara .

Editor information

Editors and Affiliations

  1. Dipartimento di Informatica Bioingegneria, Robotica e, Università di Genova, Genova, Italy

    Barbara Catania

  2. Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy

    Tania Cerquitelli

  3. Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy

    Silvia Chiusano

  4. Dipartimento di Informatica, Bioingegneria, Robotica e, Università di Genova, Genova, Italy

    Giovanna Guerrini

  5. Cloudera, Inc., California,, California, USA

    Mirko Kämpf

  6. Faculty of Informatics, Technische Universität München, Garching, Germany

    Alfons Kemper

  7. Dept. of Analytical Information Systems, Saint Petersburg University, Saint Petersburg, Russia

    Boris Novikov

  8. Dipartimento di Ingegneria e Scienza, dell’Informazione, ItalyUniversità di Trento, Povo, TN,, Italy

    Themis Palpanas

  9. Department of Software Engineering, Faculty of Mathematics and Physics, Charles University, Praha, Praha, Czech Republic

    Jaroslav Pokorný

  10. Department of Informatics, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Athena Vakali

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© 2014 Springer International Publishing Switzerland

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Fellegara, R. (2014). Spatial Indexes for Simplicial and Cellular Meshes. In: Catania, B., et al. New Trends in Databases and Information Systems. Advances in Intelligent Systems and Computing, vol 241. Springer, Cham. https://doi.org/10.1007/978-3-319-01863-8_39

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  • DOI: https://doi.org/10.1007/978-3-319-01863-8_39

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01862-1

  • Online ISBN: 978-3-319-01863-8

  • eBook Packages: EngineeringEngineering (R0)

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