Browsing Volume 31 (2012) by Subject "and systems"

Now showing items 1-4 of 4

    • Can Mean-Curvature Flow be Modified to be Non-singular? 

      Kazhdan, Michael; Solomon, Jake; Ben-Chen, Mirela (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      This work considers the question of whether mean-curvature flow can be modified to avoid the formation of singularities. We analyze the finite-elements discretization and demonstrate why the original flow can result in ...

    • Shape-Up: Shaping Discrete Geometry with Projections 

      Bouaziz, Sofien; Deuss, Mario; Schwartzburg, Yuliy; Weise, Thibaut; Pauly, Mark (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      We introduce a unified optimization framework for geometry processing based on shape constraints. These constraints preserve or prescribe the shape of subsets of the points of a geometric data set, such as polygons, one-ring ...

    • Smooth Shape-Aware Functions with Controlled Extrema 

      Jacobson, Alec; Weinkauf, Tino; Sorkine, Olga (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      Functions that optimize Laplacian-based energies have become popular in geometry processing, e.g. for shape deformation, smoothing, multiscale kernel construction and interpolation. Minimizers of Dirichlet energies, or ...

    • Soft Maps Between Surfaces 

      Solomon, Justin; Nguyen, Andy; Butscher, Adrian; Ben-Chen, Mirela; Guibas, Leonidas (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      The problem of mapping between two non-isometric surfaces admits ambiguities on both local and global scales. For instance, symmetries can make it possible for multiple maps to be equally acceptable, and stretching, slippage, ...