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Now showing items 11-20 of 23
Shape-Up: Shaping Discrete Geometry with Projections
(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 ...
Feature-Preserving Reconstruction of Singular Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
Reconstructing a surface mesh from a set of discrete point samples is a fundamental problem in geometric modeling. It becomes challenging in presence of 'singularities' such as boundaries, sharp features, and non-manifolds. ...
Time-Discrete Geodesics in the Space of Shells
(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 ...
Parallel Blue-noise Sampling by Constrained Farthest Point Optimization
(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 ...
Modeling Polyhedral Meshes with Affine Maps
(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
(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 ...
Dihedral Angle Mesh Error: a Fast Perception Correlated Distortion Measure for Fixed Connectivity Triangle Meshes
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
In computer graphics, triangle meshes are ubiquitous as a representation of surface models. Processing of this kind of data, such as compression or watermarking, often involves an unwanted distortion of the surface geometry. ...
Soft Maps Between Surfaces
(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, ...
Smooth Shape-Aware Functions with Controlled Extrema
(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 ...
Microtiles: Extracting Building Blocks from Correspondences
(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 ...