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Filtering by: Creator Polthier, Konrad Remove constraint Creator: Polthier, Konrad Language English [eng] Remove constraint Language: English [eng]

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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

  • Branched Covering Space Construction and Visualization

    Creator:
    Golbabaei, Sanaz
    Abstract:
    Branched covering spaces are a mathematical concept which originates from complex analysis and topology and has found applications in tensor field topology and geometry re-meshing. Given a manifold surface and an N-way rotational symmetry field, a branched covering space is a manifold surface that has an N-to-1 map to the...
    Resource Type:
    Masters Thesis

  • Tensor Field Design and Analysis for Applications in Computer Graphics and Scientific Visualization

    Creator:
    Palacios, Jonathan
    Abstract:
    Many applications in computer graphics and geometry processing rely on the ability to locally orient 2D and 3D entities on a surface, or inside a volume, such as the sinusoidal kernels in Gabor noise, the color and geometry textures in pattern synthesis, and the finite elements in remeshing. In these...
    Resource Type:
    Dissertation
    Full Text:
    , Konrad Polthier, Li-Yi Wei, Harry Yeh, Wenping Wang, and others, whom invested both time and effort to