IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v79y2009i8p2444-2457.html
   My bibliography  Save this article

Local refinement based on the 7-triangle longest-edge partition

Author

Listed:
  • Plaza, Ángel
  • Márquez, Alberto
  • Moreno-González, Auxiliadora
  • Suárez, José P.

Abstract

The triangle longest-edge bisection constitutes an efficient scheme for refining a mesh by reducing the obtuse triangles, since the largest interior angles are subdivided. In this paper we specifically introduce a new local refinement for triangulations based on the longest-edge trisection, the 7-triangle longest-edge (7T-LE) local refinement algorithm. Each triangle to be refined is subdivided in seven sub-triangles by determining its longest edge. The conformity of the new mesh is assured by an automatic point insertion criterion using the oriented 1-skeleton graph of the triangulation and three partial division patterns.

Suggested Citation

  • Plaza, Ángel & Márquez, Alberto & Moreno-González, Auxiliadora & Suárez, José P., 2009. "Local refinement based on the 7-triangle longest-edge partition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2444-2457.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:8:p:2444-2457
    DOI: 10.1016/j.matcom.2009.01.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475409000299
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2009.01.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Padrón, Miguel A. & Suárez, José P. & Plaza, Ángel, 2007. "Refinement based on longest-edge and self-similar four-triangle partitions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(5), pages 251-262.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Plaza, Ángel & Falcón, Sergio & Suárez, José P. & Abad, Pilar, 2012. "A local refinement algorithm for the longest-edge trisection of triangle meshes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(12), pages 2971-2981.
    2. Perdomo, Francisco & Plaza, Ángel & Quevedo, Eduardo & Suárez, José P., 2014. "A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 95-108.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Márquez, Alberto & Moreno-González, Auxiliadora & Plaza, Ángel & Suárez, José P., 2014. "There are simple and robust refinements (almost) as good as Delaunay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 84-94.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:79:y:2009:i:8:p:2444-2457. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.