Browsing 39-Issue 5 by Title

Now showing items 17-22 of 22

    • Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis 

      Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      This paper introduces the construction of a low-dimensional nonlinear space capturing the variability of a non-rigid shape from a data set of example poses. The core of the approach is a Sparse Principal Geodesic Analysis ...

    • A Parametric Analysis of Discrete Hamiltonian Functional Maps 

      Postolache, Emilian; Fumero, Marco; Cosmo, Luca; Rodolà, Emanuele (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      In this paper we develop an in-depth theoretical investigation of the discrete Hamiltonian eigenbasis, which remains quite unexplored in the geometry processing community. This choice is supported by the fact that Dirichlet ...

    • Poisson Surface Reconstruction with Envelope Constraints 

      Kazhdan, Misha; Chuang, Ming; Rusinkiewicz, Szymon; Hoppe, Hugues (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      Reconstructing surfaces from scanned 3D points has been an important research area for several decades. One common approach that has proven efficient and robust to noise is implicit surface reconstruction, i.e. fitting to ...

    • 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 ...

    • A Simple Discretization of the Vector Dirichlet Energy 

      Stein, Oded; Wardetzky, Max; Jacobson, Alec; Grinspun, Eitan (The Eurographics Association and John Wiley & Sons Ltd., 2020)
      We present a simple and concise discretization of the covariant derivative vector Dirichlet energy for triangle meshes in 3D using Crouzeix-Raviart finite elements. The discretization is based on linear discontinuous ...

    • 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 ...