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Optimal triangulation and quadric-based surface simplification

Authors:

Paul S. Heckbert,

Michael GarlandAuthors Info & Claims

Computational Geometry: Theory and Applications, Volume 14, Issue 1-3

Pages 49 - 65

https://doi.org/10.1016/S0925-7721(99)00030-9

Published: 01 November 1999 Publication History

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Zhang WYue YPan HChen ZWang CPfister HWang W(2024)Marching Windows: Scalable Mesh Generation for Volumetric Data With Multiple MaterialsIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.322552630:3(1728-1742)Online publication date: 1-Mar-2024
https://dl.acm.org/doi/10.1109/TVCG.2022.3225526
Wang YZheng JWang H(2019)Fast Mesh Simplification Method for Three-Dimensional Geometric Models with Feature-Preserving EfficiencyScientific Programming10.1155/2019/49261902019Online publication date: 3-Feb-2019
https://dl.acm.org/doi/10.1155/2019/4926190
Tsuchie S(2019)Mesh simplification accompanied by its denoising of scanned dataEngineering with Computers10.1007/s00366-018-0647-x35:3(993-1008)Online publication date: 1-Jul-2019
https://dl.acm.org/doi/10.1007/s00366-018-0647-x
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Optimal triangulation and quadric-based surface simplification

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Optimizing Triangulation of Implicit Surface Based on Quadric Error Metrics
CW '10: Proceedings of the 2010 International Conference on Cyberworlds

In this paper, based on quadric error metrics, we present an hybrid approach to optimize triangulation created from implicit surface with sharp features. The approach first uses a resampling process to update vertices positions of initial triangulation. ...
Quadric-based simplification in any dimension

We present a novel generalization of the quadric error metric used in surface simplification that can be used for simplifying simplicial complexes of any type embedded in Euclidean spaces of any dimension. We demonstrate that our generalized ...

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cover image Computational Geometry: Theory and Applications

Computational Geometry: Theory and Applications Volume 14, Issue 1-3

Special issue on multi-resolution modelling and 3D geometry compression

Nov. 1999

160 pages

ISSN:0925-7721

Editors:
Jöorg-Rüdger Sack
Carleton Univ., Ont., Canada
,
A. Guéziec
Carleton Univ., Ont., Canada
,
G. Taubin

Issue’s Table of Contents

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 November 1999

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Zhang WYue YPan HChen ZWang CPfister HWang W(2024)Marching Windows: Scalable Mesh Generation for Volumetric Data With Multiple MaterialsIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.322552630:3(1728-1742)Online publication date: 1-Mar-2024
https://dl.acm.org/doi/10.1109/TVCG.2022.3225526
Wang YZheng JWang H(2019)Fast Mesh Simplification Method for Three-Dimensional Geometric Models with Feature-Preserving EfficiencyScientific Programming10.1155/2019/49261902019Online publication date: 3-Feb-2019
https://dl.acm.org/doi/10.1155/2019/4926190
Tsuchie S(2019)Mesh simplification accompanied by its denoising of scanned dataEngineering with Computers10.1007/s00366-018-0647-x35:3(993-1008)Online publication date: 1-Jul-2019
https://dl.acm.org/doi/10.1007/s00366-018-0647-x
Yi RLiu YHe Y(2018)Delaunay mesh simplification with differential evolutionACM Transactions on Graphics10.1145/3272127.327506837:6(1-12)Online publication date: 4-Dec-2018
https://dl.acm.org/doi/10.1145/3272127.3275068
Zhong ZWang WLévy BHua JGuo X(2018)Computing a high-dimensional euclidean embedding from an arbitrary smooth riemannian metricACM Transactions on Graphics10.1145/3197517.320136937:4(1-16)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201369
Dassi FMola ASi H(2018)Curvature-adapted remeshing of CAD surfacesEngineering with Computers10.1007/s00366-017-0558-234:3(565-576)Online publication date: 1-Jul-2018
https://dl.acm.org/doi/10.1007/s00366-017-0558-2
Cabiddu DAttene M(2017)Processing Large Geometric Datasets in Distributed EnvironmentsLNCS on Transactions on Computational Science XXIX - Volume 1022010.1007/978-3-662-54563-8_6(97-120)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.1007/978-3-662-54563-8_6
de Araújo BLopes DJepp PJorge JWyvill B(2015)A Survey on Implicit Surface PolygonizationACM Computing Surveys10.1145/273219747:4(1-39)Online publication date: 26-May-2015
https://dl.acm.org/doi/10.1145/2732197
Boissonnat JShi KTournois JYvinec M(2015)Anisotropic Delaunay Meshes of SurfacesACM Transactions on Graphics10.1145/272189534:2(1-11)Online publication date: 2-Mar-2015
https://dl.acm.org/doi/10.1145/2721895
Chen JLi MLi J(2015)An improved texture-related vertex clustering algorithm for model simplificationComputers & Geosciences10.1016/j.cageo.2015.07.00583:C(37-45)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1016/j.cageo.2015.07.005
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Recommendations

Quadric-based polygonal surface simplification

Optimizing Triangulation of Implicit Surface Based on Quadric Error Metrics

Quadric-based simplification in any dimension

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