Isotropic 2D Quadrangle Meshing with Size and Orientation Control View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2011

AUTHORS

Bertrand Pellenard , Pierre Alliez , Jean-Marie Morvan

ABSTRACT

We propose an approach for automatically generating isotropic 2D quadrangle meshes from arbitrary domains with a fine control over sizing and orientation of the elements. At the heart of our algorithm is an optimization procedure that, from a coarse initial tiling of the 2D domain, enforces each of the desirable mesh quality criteria (size, shape, orientation, degree, regularity) one at a time, in an order designed not to undo previous enhancements. Our experiments demonstrate how well our resulting quadrangle meshes conform to a wide range of input sizing and orientation fields. More... »

PAGES

81-98

References to SciGraph publications

  • 2004-02. Small Strictly Convex Quadrilateral Meshes of Point Sets in ALGORITHMICA
  • 1998-04. Voronoi Diagrams in Higher Dimensions under Certain Polyhedral Distance Functions in DISCRETE & COMPUTATIONAL GEOMETRY
  • 2008. Mesh Sizing with Additively Weighted Voronoi Diagrams in PROCEEDINGS OF THE 16TH INTERNATIONAL MESHING ROUNDTABLE
  • Book

    TITLE

    Proceedings of the 20th International Meshing Roundtable

    ISBN

    978-3-642-24733-0
    978-3-642-24734-7

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-642-24734-7_5

    DOI

    http://dx.doi.org/10.1007/978-3-642-24734-7_5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1044472502


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