Browsing 32-Issue 5 by Title
Now showing items 1-20 of 24
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An Algorithm for Triangulating Multiple 3D Polygons
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We present an algorithm for obtaining a triangulation of multiple, non-planar 3D polygons. The output minimizes additive weights, such as the total triangle areas or the total dihedral angles between adjacent triangles. ... -
Animation-Aware Quadrangulation
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Geometric meshes that model animated characters must be designed while taking into account the deformations that the shape will undergo during animation. We analyze an input sequence of meshes with point-to-point correspondence, ... -
Approximating Functions on a Mesh with Restricted Voronoï Diagrams
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We propose a method that computes a piecewise constant approximation of a function defined on a mesh. The approximation is associated with the cells of a restricted Voronoï diagram. Our method optimizes an objective function ... -
Bijective Composite Mean Value Mappings
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We introduce the novel concept of composite barycentric mappings and give theoretical conditions under which they are guaranteed to be bijective. We then focus on mean value mappings and derive a simple procedure for ... -
Connectivity Editing for Quad-Dominant Meshes
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We propose a connectivity editing framework for quad-dominant meshes. In our framework, the user can edit the mesh connectivity to control the location, type, and number of irregular vertices (with more or fewer than four ... -
Consistent Shape Maps via Semidefinite Programming
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Recent advances in shape matching have shown that jointly optimizing the maps among the shapes in a collection can lead to significant improvements when compared to estimating maps between pairs of shapes in isolation. ... -
Consistent Volumetric Discretizations Inside Self-Intersecting Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Decades of research have culminated in a robust geometry processing pipeline for surfaces. Most steps in this pipeline, like deformation, smoothing, subdivision and decimation, may create self-intersections. Volumetric ... -
Consolidation of Low-quality Point Clouds from Outdoor Scenes
(The Eurographics Association and Blackwell Publishing Ltd., 2013)The emergence of laser/LiDAR sensors, reliable multi-view stereo techniques and more recently consumer depth cameras have brought point clouds to the forefront as a data format useful for a number of applications. ... -
Dirichlet Energy for Analysis and Synthesis of Soft Maps
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Soft maps taking points on one surface to probability distributions on another are attractive for representing surface mappings in the presence of symmetry, ambiguity, and combinatorial complexity. Few techniques, however, ... -
Discrete Line Congruences for Shading and Lighting
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Two-parameter families of straight lines (line congruences) are implicitly present in graphics and geometry processing in several important ways including lighting and shape analysis. In this paper we make them accessible ... -
Dynamic Maps for Exploring and Browsing Shapes
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Large datasets of 3D objects require an intuitive way to browse and quickly explore shapes from the collection. We present a dynamic map of shapes where similar shapes are placed next to each other. Similarity between 3D ... -
Fast and Robust Approximation of Smallest Enclosing Balls in Arbitrary Dimensions
(The Eurographics Association and Blackwell Publishing Ltd., 2013)In this paper, an algorithm is introduced that computes an arbitrarily fine approximation of the smallest enclosing ball of a point set in any dimension. This operation is important in, for example, classification, clustering, ... -
Fitting Polynomial Volumes to Surface Meshes with Voronoï Squared Distance Minimization
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We propose a method for mapping polynomial volumes. Given a closed surface and an initial template volume grid, our method deforms the template grid by fitting its boundary to the input surface while minimizing a volume ... -
Locally Injective Mappings
(The Eurographics Association and Blackwell Publishing Ltd., 2013)Mappings and deformations are ubiquitous in geometry processing, shape modeling, and animation. Numerous deformation energies have been proposed to tackle problems like mesh parameterization and volumetric deformations. ... -
Noise-Adaptive Shape Reconstruction from Raw Point Sets
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We propose a noise-adaptive shape reconstruction method specialized to smooth, closed shapes. Our algorithm takes as input a defect-laden point set with variable noise and outliers, and comprises three main steps. First, ... -
An Operator Approach to Tangent Vector Field Processing
(The Eurographics Association and Blackwell Publishing Ltd., 2013)In this paper, we introduce a novel coordinate-free method for manipulating and analyzing vector fields on discrete surfaces. Unlike the commonly used representations of a vector field as an assignment of vectors to the ... -
PHOG: Photometric and Geometric Functions for Textured Shape Retrieval
(The Eurographics Association and Blackwell Publishing Ltd., 2013)In this paper we target the problem of textured 3D object retrieval. As a first contribution, we show how to include photometric information in the persistence homology setting, also proposing a novel theoretical result ... -
Practical Anisotropic Geodesy
(The Eurographics Association and Blackwell Publishing Ltd., 2013)The computation of intrinsic, geodesic distances and geodesic paths on surfaces is a fundamental low-level building block in countless Computer Graphics and Geometry Processing applications. This demand led to the development ... -
Preface and Table of Contents
(The Eurographics Association and Blackwell Publishing Ltd., 2013) -
Semantizing Complex 3D Scenes using Constrained Attribute Grammars
(The Eurographics Association and Blackwell Publishing Ltd., 2013)We propose a new approach to automatically semantize complex objects in a 3D scene. For this, we define an expressive formalism combining the power of both attribute grammars and constraint. It offers a practical conceptual ...