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SGP
2004
8 years 8 months ago
Comparing Point Clouds
Point clouds are one of the most primitive and fundamental surface representations. A popular source of point clouds are three dimensional shape acquisition devices such as laser ...
Facundo Mémoli, Guillermo Sapiro
SGP
2004
8 years 8 months ago
Spectral Surface Reconstruction From Noisy Point Clouds
: We introduce a noise-resistant algorithm for reconstructing a watertight surface from point cloud data. It forms a Delaunay tetrahedralization, then uses a variant of spectral gr...
Ravi Krishna Kolluri, Jonathan Richard Shewchuk, J...
SGP
2004
8 years 8 months ago
Symmetry Descriptors and 3D Shape Matching
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 reflectiv...
Michael M. Kazhdan, Thomas A. Funkhouser, Szymon R...
SGP
2004
8 years 8 months ago
Signal-Specialized Parameterization for Piecewise Linear Reconstruction
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 s...
Geetika Tewari, John Snyder, Pedro V. Sander, Stev...
SGP
2004
8 years 8 months ago
Shape Segmentation Using Local Slippage Analysis
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 mor...
Natasha Gelfand, Leonidas J. Guibas
SGP
2004
8 years 8 months ago
Simplification and Improvement of Tetrahedral Models for Simulation
Most 3D mesh generation techniques require simplification and mesh improvement stages to prepare a tetrahedral model for efficient simulation. We have developed an algorithm that ...
Barbara Cutler, Julie Dorsey, Leonard McMillan
SGP
2004
8 years 8 months ago
Two Algorithms for Fast Reclustering of Dynamic Meshed Surfaces
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 no...
Nathan A. Carr, John C. Hart
SGP
2004
8 years 8 months ago
Persistence Barcodes for Shapes
In this paper, we initiate a study of shape description and classification via the application of persistent homology to tangential constructions on geometric objects. Our techniq...
Gunnar Carlsson, Afra Zomorodian, Anne D. Collins,...
SGP
2004
8 years 8 months ago
A Remeshing Approach to Multiresolution Modeling
Providing a thorough mathematical foundation, multiresolution modeling is the standard approach for global surface deformations that preserve fine surface details in an intuitive ...
Mario Botsch, Leif Kobbelt
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