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Dynamic skin triangulation

Published: 09 January 2001 Publication History
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  • Abstract

    This paper describes an algorithm for maintaining an approximating triangulation of a deforming surface in R3. The triangulation adapts dynamically to changing shape, curvature, and topology of the surface.

    References

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    T. E. MORTHLAND, P. E. BYRNE, D. A. TORTORELLI AND J. A. DANTZIG. Optimal riser design for metal castings. Metallurgical and Material Transactions 26B (1995), 871-885.
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    D. PEDOE. Geometry: a Comprehensive Course. Dover, New York, 1988.
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    Cited By

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    • (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
    • (2009)Adaptive surface meshes coarsening with guaranteed quality and topologyProceedings of the 2009 Computer Graphics International Conference10.1145/1629739.1629746(53-61)Online publication date: 26-May-2009
    • (2008)Maintaining deforming surface meshesProceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms10.5555/1347082.1347095(112-121)Online publication date: 20-Jan-2008
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    Published In

    cover image ACM Conferences
    SODA '01: Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
    January 2001
    937 pages
    ISBN:0898714907

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    Society for Industrial and Applied Mathematics

    United States

    Publication History

    Published: 09 January 2001

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    Author Tags

    1. adaptive meshing
    2. algorithms
    3. computational geometry
    4. deformation
    5. differential geometry
    6. metamorphoses
    7. proofs

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    Overall Acceptance Rate 411 of 1,322 submissions, 31%

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    • (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
    • (2009)Adaptive surface meshes coarsening with guaranteed quality and topologyProceedings of the 2009 Computer Graphics International Conference10.1145/1629739.1629746(53-61)Online publication date: 26-May-2009
    • (2008)Maintaining deforming surface meshesProceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms10.5555/1347082.1347095(112-121)Online publication date: 20-Jan-2008
    • (2008)Untangling triangulations through local explorationsProceedings of the twenty-fourth annual symposium on Computational geometry10.1145/1377676.1377726(288-297)Online publication date: 9-Jun-2008
    • (2006)Quality tetrahedral mesh generation for macromoleculesProceedings of the 17th international conference on Algorithms and Computation10.1007/11940128_22(203-212)Online publication date: 18-Dec-2006
    • (2005)Dynamic maintenance of molecular surfaces under conformational changesProceedings of the twenty-first annual symposium on Computational geometry10.1145/1064092.1064102(45-54)Online publication date: 6-Jun-2005
    • (2005)Improved maintenance of molecular surfaces using dynamic graph connectivityProceedings of the 5th International conference on Algorithms in Bioinformatics10.1007/11557067_33(401-413)Online publication date: 3-Oct-2005
    • (2005)A surface reconstruction algorithm using weighted alpha shapesProceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I10.1007/11539506_143(1141-1150)Online publication date: 27-Aug-2005
    • (2005)Visualization and analysis of protein structures using euclidean voronoi diagram of atomsProceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III10.1007/11424857_107(993-1002)Online publication date: 9-May-2005
    • (2004)An effective condition for sampling surfaces with guaranteesProceedings of the ninth ACM symposium on Solid modeling and applications10.5555/1217875.1217891(101-112)Online publication date: 9-Jun-2004
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