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SGP
2004
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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
10 years 6 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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