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  • Hexagonal global parameterization of arbitrary surfaces

    Creator:
    Nieser, Matthias, Palacios, Jonathan, Polthier, Konrad, and Zhang, Eugene
    Abstract:
    In this paper we introduce hexagonal global parameterizations, a new type of parameterization in which parameter lines respect six-fold rotational symmetries (6-RoSy). Such parameterizations enable the tiling of surfaces with regular hexagonal texture and geometry patterns and can be used to generate high-quality triangular remeshing. To construct a hexagonal parameterization...
    Resource Type:
    Article
    Full Text:
    Parameterization of Arbitrary Surfaces Matthias Nieser, Jonathan Palacios, Konrad Polthier, and Eugene Zhang F

  • Extremum problems for eigenvalues of discrete Laplace operators

    Creator:
    Guo, Ren
    Abstract:
    The P1 discretization of the Laplace operator on a triangulated polyhedral surface is related to geometric properties of the surface. This paper studies extremum problems for eigenvalues of the P1 discretization of the Laplace operator. Among all triangles, an equilateral triangle has the maximal first positive eigenvalue. Among all cyclic...
    Resource Type:
    Article
    Full Text:
    Electrical Networks. Ph.D. Thesis, Caltech, Pasadena, 1949 [15] Ulrich Pinkall, Konrad Polthier, Computing