Now showing items 11-23 of 23

    • Mean Curvature Skeletons 

      Tagliasacchi, Andrea; Alhashim, Ibraheem; Olson, Matt; Zhang, Hao (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      Inspired by recent developments in contraction-based curve skeleton extraction, we formulate the skeletonization problem via mean curvature flow (MCF). While the classical application of MCF is surface fairing, we take ...
    • Microtiles: Extracting Building Blocks from Correspondences 

      Kalojanov, Javor; Bokeloh, Martin; Wand, Michael; Guibas, Leonidas; Seidel, Hans-Peter; Slusallek, Philipp (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      In this paper, we develop a theoretical framework for characterizing shapes by building blocks. We address two questions: First, how do shape correspondences induce building blocks? For this, we introduce a new representation ...
    • Modeling Polyhedral Meshes with Affine Maps 

      Vaxman, Amir (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      We offer a framework for editing and modeling of planar meshes, focusing on planar quad, and hexagonaldominant meshes, which are held in high demand in the field of architectural design. Our framework manipulates these ...
    • New Bounds on the Size of Optimal Meshes 

      Sheehy, Donald R. (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      The theory of optimal size meshes gives a method for analyzing the output size (number of simplices) of a Delaunay refinement mesh in terms of the integral of a sizing function over the input domain. The input points define ...
    • Nonrigid Matching of Undersampled Shapes via Medial Diffusion 

      Berger, Matthew; Silva, Claudio T. (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      We introduce medial diffusion for the matching of undersampled shapes undergoing a nonrigid deformation. We construct a diffusion process with respect to the medial axis of a shape, and use the quantity of heat diffusion ...
    • Parallel Blue-noise Sampling by Constrained Farthest Point Optimization 

      Chen, Renjie; Gotsman, Craig (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      We describe a fast sampling algorithm for generating uniformly-distributed point patterns with good blue noise characteristics. The method, based on constrained farthest point optimization, is provably optimal and may be ...
    • Preface and Table of Contents 

      Eitan Grinspun and Niloy Mitra (The Eurographics Association and Blackwell Publishing Ltd., 2012)
    • Radial Symmetry Detection and Shape Characterization with the Multiscale Area Projection Transform 

      Giachetti, Andrea; Lovato, Christian (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      We present a novel method to characterize 3D surfaces through the computation of a function called (multiscale) area projection transform, measuring the likelihood of points in the 3D space to be center of radial symmetry ...
    • 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, ...
    • Stream Surface Parametrization by Flow-Orthogonal Front Lines 

      Schulze, Maik; Germer, Tobias; Rössl, Christian; Theisel, Holger (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      The generation of discrete stream surfaces is an important and challenging task in scientific visualization, which can be considered a particular instance of geometric modeling. The quality of numerically integrated stream ...
    • Time-Discrete Geodesics in the Space of Shells 

      Heeren, Behrend; Rumpf, Martin; Wardetzky, Max; Wirth, Benedikt (The Eurographics Association and Blackwell Publishing Ltd., 2012)
      Building on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different ...