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

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

Image & Pervasive Access Lab, National Centre for Scientific Research (CNRS), Fusionopolis, Singapore

Please use this identifier to cite or link to this publication: http://hdl.handle.net/10380/3392

Published in The Insight Journal - 2012 January-December.

Submitted by Stephane Rigaud on 11-15-2012.

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.

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Paper Id:	883
Categories:	Data Representation, Mesh
Keywords:	QuadEdgeMesh, Simplex Mesh, Primal Dual Mesh, ITK
Toolkits:	ITK, CMake
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Status:	Open for public review

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