“Mapping-Independent Triangulation of Parametric Surfaces” by Attene and Wyvill

  • ©Marco Attene and Geoff Wyvill

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    Application

Title:

    Mapping-Independent Triangulation of Parametric Surfaces

Session/Category Title:   Meshes


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Abstract:


    Triangulation of parametric surfaces is important for visualization and finite element analysis. The wrong choice of parameterization can spoil a triangulation or even cause the algorithm to fail. We present a new method that uses a local inverse mapping for almost uniformly sampling and triangulating a surface, so that its parameterization becomes irrelevant; differential geometry provides almost all we need.

References:


    1. Lipshutz, S. (1983). Shaum’s outline of differential geometry. McGraw Hill, 1983.
    2. Hartman, E. (1998). A marching method for triangulation of surfaces. The
    Visual Computer 14: 95-108.
    3. Seibold, W. & Wyvill, G. (1999). Near-optimal adaptive polygonization.
    In Proceedings CGI’99 IEEE Computer Society, 206-213.


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