Browsing SGP09: Eurographics Symposium on Geometry Processing by Title
Now showing items 1-20 of 27
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Approximating Gradients for Meshes and Point Clouds via Diffusion Metric
(The Eurographics Association and Blackwell Publishing Ltd, 2009)The gradient of a function defined on a manifold is perhaps one of the most important differential objects in data analysis. Most often in practice, the input function is available only at discrete points sampled from the ... -
A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We propose a novel point signature based on the properties of the heat diffusion process on a shape. Our signature, called the Heat Kernel Signature (or HKS), is obtained by restricting the well-known heat kernel to the ... -
Diamond Hierarchies of Arbitrary Dimension
(The Eurographics Association and Blackwell Publishing Ltd, 2009)Nested simplicial meshes generated by the simplicial bisection decomposition proposed by Maubach [Mau95] have been widely used in 2D and 3D as multi-resolution models of terrains and three-dimensional scalar fields, They ... -
Discrete Critical Values: a General Framework for Silhouettes Computation
(The Eurographics Association and Blackwell Publishing Ltd, 2009)Many shapes resulting from important geometric operations in industrial applications such as Minkowski sums or volume swept by a moving object can be seen as the projection of higher dimensional objects. When such a higher ... -
Energy-Based Image Deformation
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We present a general approach to shape deformation based on energy minimization, and applications of this approach to the problems of image resizing and 2D shape deformation. Our deformation energy generalizes that found ... -
Estimating the Laplace-Beltrami Operator by Restricting 3D Functions
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace-Beltrami operator by considering the derivatives of functions defined ... -
Fast, Exact, Linear Booleans
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We present a new system for robustly performing Boolean operations on linear, 3D polyhedra. Our system is exact, meaning that all internal numeric predicates are exactly decided in the sense of exact geometric computation. ... -
Feature preserving Delaunay mesh generation from 3D multi-material images
(The Eurographics Association and Blackwell Publishing Ltd, 2009)Generating realistic geometric models from 3D segmented images is an important task in many biomedical applications. Segmented 3D images impose particular challenges for meshing algorithms because they contain multi-material ... -
Filtering Relocations on a Delaunay Triangulation
(The Eurographics Association and Blackwell Publishing Ltd, 2009)Updating a Delaunay triangulation when its vertices move is a bottleneck in several domains of application. Rebuilding the whole triangulation from scratch is surprisingly a very viable option compared to relocating the ... -
Frontmatter
(The Eurographics Association and Blackwell Publishing Ltd, 2009) -
Gromov-Hausdorff Stable Signatures for Shapes using Persistence
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We introduce a family of signatures for finite metric spaces, possibly endowed with real valued functions, based on the persistence diagrams of suitable filtrations built on top of these spaces. We prove the stability of ... -
Interior Distance Using Barycentric Coordinates
(The Eurographics Association and Blackwell Publishing Ltd, 2009)This paper introduces a framework for defining a shape-aware distance measure between any two points in the interior of a surface mesh. Our framework is based on embedding the surface mesh into a high-dimensional space in ... -
Isotopic Reconstruction of Surfaces with Boundaries
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We present an algorithm for the reconstruction of a surface with boundaries (including a non-orientable one) in three dimensions from a sufficiently dense sample. It is guaranteed that the output is isotopic to the unknown ... -
Isotropic Remeshing with Fast and Exact Computation of Restricted Voronoi Diagram
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We propose a new isotropic remeshing method, based on Centroidal Voronoi Tessellation (CVT). Constructing CVT requires to repeatedly compute Restricted Voronoi Diagram (RVD), defined as the intersection between a 3D Voronoi ... -
Localized Quadrilateral Coarsening
(The Eurographics Association and Blackwell Publishing Ltd, 2009)In this paper we introduce a coarsening algorithm for quadrilateral meshes that generates quality, quad-only connectivity during level-of-coarsening creation. A novel aspect of this work is development and implementation ... -
Manifold Homotopy via the Flow Complex
(The Eurographics Association and Blackwell Publishing Ltd, 2009)It is known that the critical points of the distance function induced by a dense sample P of a submanifold ? of R?n are distributed into two groups, one lying close to ? itself, called the shallow, and the other close to ... -
Multi-objective shape segmentation and labeling
(The Eurographics Association and Blackwell Publishing Ltd, 2009)Shape segmentations designed for different applications show significant variation in the composition of their parts. In this paper, we introduce the segmentation and labeling of shape based on the simultaneous optimization ... -
Progressive Lossless Mesh Compression Via Incremental Parametric Refinement
(The Eurographics Association and Blackwell Publishing Ltd, 2009)In this paper, we propose a novel progressive lossless mesh compression algorithm based on Incremental Parametric Refinement, where the connectivity is uncontrolled in a first step, yielding visually pleasing meshes at ... -
Random Accessible Hierarchical Mesh Compression for Interactive Visualization
(The Eurographics Association and Blackwell Publishing Ltd, 2009)This paper presents a novel algorithm for hierarchical random accessible mesh decompression. Our approach progressively decompresses the requested parts of a mesh without decoding less interesting parts. Previous approaches ... -
Reconstruction of Multi-Label Domains from Partial Planar Cross-Sections
(The Eurographics Association and Blackwell Publishing Ltd, 2009)We present a novel algorithm for reconstructing a subdivision of the three-dimensional space (given arbitrarily-oriented slices of it) into labeled domains. The input to the algorithm is a collection of nonparallel planar ...