IDEAS home Printed from https://ideas.repec.org/p/qsh/wpaper/221811.html
   My bibliography  Save this paper

Primal/Dual Mesh with Application to Triangular/Simplex Mesh and Delaunay/Voronoi

Author

Listed:
  • Irshad, Humayun
  • Rigaud, Stephane
  • Gouaillard, Alexandre

Abstract

This document describes an extension of ITK to handle both primal and dual meshes simultaneously. This paper describe in particular the data structure, an extension of itk::QuadEdgeMesh, a filter to compute and add to the the structure the dual of an existing mesh, and an adaptor which let a down- ward pipeline process the dual mesh as if it was a native itk::QuadEdgeMesh. The new data structure, itk::QuadEdgeMeshWithDual, is an extension of the already existing itk::QuadEdgeMesh, which already included by default the due topology, to handle dual geometry as well. Two types of primal meshes have been specifically illustrated: triangular / simplex meshes and Voronoi / Delaunay. A functor mechanism has been implemented to allow for different kind of computation of the dual geometry. This paper is accompanied with the source code and examples.

Suggested Citation

  • Irshad, Humayun & Rigaud, Stephane & Gouaillard, Alexandre, "undated". "Primal/Dual Mesh with Application to Triangular/Simplex Mesh and Delaunay/Voronoi," Working Paper 221811, Harvard University OpenScholar.
    • Handle: RePEc:qsh:wpaper:221811
    as

    Download full text from publisher

    File URL: http://scholar.harvard.edu/humayun/node/221811
    Download Restriction: no
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:qsh:wpaper:221811. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Richard Brandon (email available below). General contact details of provider: https://edirc.repec.org/data/cbrssus.html .

    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.