research-article

Repairing and meshing imperfect shapes with Delaunay refinement

Authors:

Oleksiy Busaryev,

Joshua A. LevineAuthors Info & Claims

SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

Pages 25 - 33

https://doi.org/10.1145/1629255.1629259

Published: 05 October 2009 Publication History

Abstract

As a direct consequence of software quirks, designer errors, and representation flaws, often three-dimensional shapes are stored in formats that introduce inconsistencies such as small gaps and overlaps between surface patches. We present a new algorithm that simultaneously repairs imperfect geometry and topology while generating Delaunay meshes of these shapes. At the core of this approach is a meshing algorithm for input shapes that are piecewise smooth complexes (PSCs), a collection of smooth surface patches meeting at curves non-smoothly or in non-manifold configurations. Guided by a user tolerance parameter, we automatically merge nearby components while building a Delaunay mesh that has many of these errors fixed. Experimental evidence is provided to show the results of our algorithm on common computer-aided design (CAD) formats. Our algorithm may also be used to simplify shapes by removing small features which would require an excessive number of elements to preserve them in the output mesh.

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Cited By

Xiao XAlliez PBusé LRineau L(2021)Delaunay Meshing and Repairing of NURBS ModelsComputer Graphics Forum10.1111/cgf.1436240:5(125-142)Online publication date: 23-Aug-2021
https://doi.org/10.1111/cgf.14362
Hettinga GKosinka J(2020)Conversion of B-rep CAD models into globally G1 triangular splinesComputer Aided Geometric Design10.1016/j.cagd.2020.101832(101832)Online publication date: Mar-2020
https://doi.org/10.1016/j.cagd.2020.101832
Hu YSchneider TGao XZhou QJacobson AZorin DPanozzo D(2019)TriWildACM Transactions on Graphics10.1145/3306346.332301138:4(1-15)Online publication date: 12-Jul-2019
https://dl.acm.org/doi/10.1145/3306346.3323011
Show More Cited By

Index Terms

Repairing and meshing imperfect shapes with Delaunay refinement
1. Applied computing
  1. Physical sciences and engineering
    1. Engineering
2. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models

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Information

Published In

cover image ACM Other conferences

SPM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

October 2009

380 pages

ISBN:9781605587110

DOI:10.1145/1629255

Conference Chair:
Wim Bronsvoort
Delft University of Technology, The Netherlands
,
General Chairs:
Daniel Gonsor
The Boeing Company
,
William Regli
Drexel University
,
Thomas Grandine
The Boeing Company
,
Jan Vandenbrande
The Boeing Company
,
Program Chairs:
Jens Gravesen
Technical University of Denmark, Denmark
,
John Keyser
Texas A&M University

Copyright © 2009 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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SIAM Activity Group on Geometric Design

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SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 05 October 2009

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Division of Computing and Communication Foundations

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SIAM '09

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SIAM '09: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling

October 5 - 8, 2009

California, San Francisco

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Cited By

Xiao XAlliez PBusé LRineau L(2021)Delaunay Meshing and Repairing of NURBS ModelsComputer Graphics Forum10.1111/cgf.1436240:5(125-142)Online publication date: 23-Aug-2021
https://doi.org/10.1111/cgf.14362
Hettinga GKosinka J(2020)Conversion of B-rep CAD models into globally G1 triangular splinesComputer Aided Geometric Design10.1016/j.cagd.2020.101832(101832)Online publication date: Mar-2020
https://doi.org/10.1016/j.cagd.2020.101832
Hu YSchneider TGao XZhou QJacobson AZorin DPanozzo D(2019)TriWildACM Transactions on Graphics10.1145/3306346.332301138:4(1-15)Online publication date: 12-Jul-2019
https://dl.acm.org/doi/10.1145/3306346.3323011
Shen JKosinka JMagalhaes LMantiuk R(2016)Conversion of CAD models to loop subdivision surfacesProceedings of the 37th Annual Conference of the European Association for Computer Graphics: Posters10.5555/3059079.3059097(33-34)Online publication date: 9-May-2016
https://dl.acm.org/doi/10.5555/3059079.3059097
Shen JBusé LAlliez PDodgson N(2016)A line/trimmed NURBS surface intersection algorithm using matrix representationsComputer Aided Geometric Design10.1016/j.cagd.2016.07.00248:C(1-16)Online publication date: 1-Nov-2016
https://dl.acm.org/doi/10.1016/j.cagd.2016.07.002
Wang LHung Y(2012)Hole filling of triangular mesh segments using systematic grey predictionComputer-Aided Design10.1016/j.cad.2012.07.00744:12(1182-1189)Online publication date: 1-Dec-2012
https://dl.acm.org/doi/10.1016/j.cad.2012.07.007
Petit FGuibault F(2012)A BREP Model and Mesh Errors Detecting Tool: TopoVisuProduct Lifecycle Management. Towards Knowledge-Rich Enterprises10.1007/978-3-642-35758-9_42(468-477)Online publication date: 2012
https://doi.org/10.1007/978-3-642-35758-9_42
Cui XZhang SZhan YGao MHuang JMetaxas D(2012)3D anatomical shape atlas construction using mesh quality preserved deformable modelsProceedings of the 2012 international conference on Mesh Processing in Medical Image Analysis10.1007/978-3-642-33463-4_2(12-21)Online publication date: 1-Oct-2012
https://dl.acm.org/doi/10.1007/978-3-642-33463-4_2
Lévy BLiu YDeRose T(2010)L Centroidal Voronoi Tessellation and its applicationsACM SIGGRAPH 2010 papers10.1145/1833349.1778856(1-11)Online publication date: 26-Jul-2010
https://dl.acm.org/doi/10.1145/1833349.1778856
Lévy BLiu Y(2010)L Centroidal Voronoi Tessellation and its applicationsACM Transactions on Graphics10.1145/1778765.177885629:4(1-11)Online publication date: 26-Jul-2010
https://dl.acm.org/doi/10.1145/1778765.1778856
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