Browsing 39-Issue 5 by Subject "Computational geometry"

Now showing items 1-3 of 3

    • Interpolated Corrected Curvature Measures for Polygonal Surfaces 

      Lachaud, Jacques-Olivier; Romon, Pascal; Thibert, Boris; Coeurjolly, David (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      A consistent and yet practically accurate definition of curvature onto polyhedral meshes remains an open problem. We propose a new framework to define curvature measures, based on the Corrected Normal Current, which ...

    • Properties of Laplace Operators for Tetrahedral Meshes 

      Alexa, Marc; Herholz, Philipp; Kohlbrenner, Max; Sorkine-Hornung, Olga (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      Discrete Laplacians for triangle meshes are a fundamental tool in geometry processing. The so-called cotan Laplacian is widely used since it preserves several important properties of its smooth counterpart. It can be derived ...

    • Topology-Aware Surface Reconstruction for Point Clouds 

      Brüel-Gabrielsson, Rickard; Ganapathi-Subramanian, Vignesh; Skraba, Primoz; Guibas, Leonidas J. (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      We present an approach to incorporate topological priors in the reconstruction of a surface from a point scan. We base the reconstruction on basis functions which are optimized to provide a good fit to the point scan while ...