Browsing SGP06: Eurographics Symposium on Geometry Processing by Issue Date
Now showing items 1-20 of 26
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Loop Subdivision with Curvature Control
(The Eurographics Association, 2006)In this paper the problem of curvature behavior around extraordinary points of a Loop subdivision surface is addressed. A variant of Loop s algorithm with small stencils is used that generates surfaces with bounded curvature ... -
Size Functions for 3D Shape Retrieval
(The Eurographics Association, 2006)This paper sketches a technique for 3D model retrieval built on size functions, a mathematical tool to compare shapes. Size functions are introduced for the first time to discriminate among 3D objects, through the proposal ... -
Designing Quadrangulations with Discrete Harmonic Forms
(The Eurographics Association, 2006)We introduce a framework for quadrangle meshing of discrete manifolds. Based on discrete differential forms, our method hinges on extending the discrete Laplacian operator (used extensively in modeling and animation) to ... -
A C2 Polar Jet Subdivision
(The Eurographics Association, 2006)We describe a subdivision scheme that acts on control nodes that each carry a vector of values. Each vector defines partial derivatives, referred to as jets in the following and subdivision computes new jets from old jets. ... -
Robust Principal Curvatures on Multiple Scales
(The Eurographics Association, 2006)Geometry processing algorithms often require the robust extraction of curvature information. We propose to achieve this with principal component analysis (PCA) of local neighborhoods, defined via spherical kernels centered ... -
On Transfinite Barycentric Coordinates
(The Eurographics Association, 2006)A general construction of transfinite barycentric coordinates is obtained as a simple and natural generalization of Floater's mean value coordinates [Flo03, JSW05b]. The Gordon-Wixom interpolation scheme [GW74] and transfinite ... -
PriMo: Coupled Prisms for Intuitive Surface Modeling
(The Eurographics Association, 2006)We present a new method for 3D shape modeling that achieves intuitive and robust deformations by emulating physically plausible surface behavior inspired by thin shells and plates. The surface mesh is embedded in a layer ... -
Robust Reconstruction of Watertight 3D Models from Non-uniformly Sampled Point Clouds Without Normal Information
(The Eurographics Association, 2006)We present a new volumetric method for reconstructing watertight triangle meshes from arbitrary, unoriented point clouds. While previous techniques usually reconstruct surfaces as the zero level-set of a signed distance ... -
A Decomposition-based Representation for 3D Simplicial Complexes
(The Eurographics Association, 2006)We define a new representation for non-manifold 3D shapes described by three-dimensional simplicial complexes, that we call the Double-Level Decomposition (DLD) data structure. The DLD data structure is based on a unique ... -
Poisson Surface Reconstruction
(The Eurographics Association, 2006)We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. This Poisson formulation considers all the points at once, without resorting to heuristic spatial partitioning or blending, ... -
Constructing Curvature-continuous Surfaces by Blending
(The Eurographics Association, 2006)In this paper we describe an approach to the construction of curvature-continuous surfaces with arbitrary control meshes using subdivision. Using a simple modification of the widely used Loop subdivision algorithm we obtain ... -
Spherical Barycentric Coordinates
(The Eurographics Association, 2006)We develop spherical barycentric coordinates. Analogous to classical, planar barycentric coordinates that describe the positions of points in a plane with respect to the vertices of a given planar polygon, spherical ... -
Hierarchical Error-Driven Approximation of Implicit Surfaces from Polygonal Meshes
(The Eurographics Association, 2006)This paper describes an efficient method for the hierarchical approximation of implicit surfaces from polygonal meshes. A novel error function between a polygonal mesh and an implicit surface is proposed. This error function ... -
Error Bounds and Optimal Neighborhoods for MLS Approximation
(The Eurographics Association, 2006)In recent years, the moving least-square (MLS) method has been extensively studied for approximation and reconstruction of surfaces. The MLS method involves local weighted least-squares polynomial approximations, using a ... -
Reconstruction with Voronoi Centered Radial Basis Functions
(The Eurographics Association, 2006)We consider the problem of reconstructing a surface from scattered points sampled on a physical shape. The sampled shape is approximated as the zero level set of a function. This function is defined as a linear combination ... -
Partial Matching of 3D Shapes with Priority-Driven Search
(The Eurographics Association, 2006)Priority-driven search is an algorithm for retrieving similar shapes from a large database of 3D objects. Given a query object and a database of target objects, all represented by sets of local 3D shape features, the ... -
Probabilistic Fingerprints for Shapes
(The Eurographics Association, 2006)We propose a new probabilistic framework for the efficient estimation of similarity between 3D shapes. Our framework is based on local shape signatures and is designed to allow for quick pruning of dissimilar shapes, while ... -
Selectively Refinable Subdivision Meshes
(The Eurographics Association, 2006)We introduce RGB triangulations, an extension of red-green triangulations that can support selective refinement over subdivision meshes generated through quadrisection of triangles. Our purpose is to define a mechanism ... -
Folding Meshes: Hierarchical Mesh Segmentation based on Planar Symmetry
(The Eurographics Association, 2006)Meshes representing real world objects, both artist-created and scanned, contain a high level of redundancy due to (possibly approximate) planar reflection symmetries, either global or localized to different subregions. ... -
Defining and Computing Curve-skeletons with Medial Geodesic Function
(The Eurographics Association, 2006)Many applications in geometric modeling, computer graphics, visualization and computer vision benefit from a reduced representation called curve-skeletons of a shape. These are curves possibly with branches which compactly ...