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Signal-Specialized Parameterization for Piecewise Linear Reconstruction
(The Eurographics Association, 2004)
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our metric predicts the signal ...
Isotopic Approximation of Implicit Curves and Surfaces
(The Eurographics Association, 2004)
Implicit surfaces are defined as the zero set of a function F : R<sup>3</sup>-> R. Although several algorithms exist for generating piecewise linear approximations, most of them are based on a user-defined ...
Symmetry Descriptors and 3D Shape Matching
(The Eurographics Association, 2004)
In this paper, we present the Symmetry Descriptors of a 3D model. This is a collection of spherical functions that describes the measure of a model's rotational and reflective symmetry with respect to every axis passing ...
Shape Segmentation Using Local Slippage Analysis
(The Eurographics Association, 2004)
We propose a method for segmentation of 3D scanned shapes into simple geometric parts. Given an input point cloud, our method computes a set of components which possess one or more slippable motions: rigid motions which, ...
Differentiable Parameterization of Catmull-Clark Subdivision Surfaces
(The Eurographics Association, 2004)
Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizations of Catmull-Clark subdivision surfaces ...
Two Algorithms for Fast Reclustering of Dynamic Meshed Surfaces
(The Eurographics Association, 2004)
Numerous mesh algorithms such as parametrization, radiosity, and collision detection require the decomposition of meshes into a series of clusters. In this paper we present two novel approaches for maintaining mesh clusterings ...
Second Order Smoothness over Extraordinary Vertices
(The Eurographics Association, 2004)
Catmull & Clark subdivision is now a standard for smooth free-form surface modeling. These surfaces are everywhere curvature continuous except at points corresponding to vertices not incident on four edges. While the surface ...
Geometric Texture Synthesis by Example
(The Eurographics Association, 2004)
Patterns on real-world objects are often due to variations in geometry across the surface. Height fields and other common parametric methods cannot synthesize many forms of geometric surface texture such as thorns, scales, ...
Topology Preserving Surface Extraction Using Adaptive Subdivision
(The Eurographics Association, 2004)
We address the problem of computing a topology preserving isosurface from a volumetric grid using Marching Cubes for geometry processing applications. We present a novel topology preserving subdivision algorithm to generate ...
Persistence Barcodes for Shapes
(The Eurographics Association, 2004)
In this paper, we initiate a study of shape description and classification via the application of persistent homology to two tangential constructions on geometric objects. Our techniques combine the differentiating power ...