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» Discrete Complex Structure on Surfel Surfaces
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166
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519views
13 years 8 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
94
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CVPR
2012
IEEE
13 years 18 days ago
Geometric understanding of point clouds using Laplace-Beltrami operator
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zha...
108
Voted
CGF
1998
134views more  CGF 1998»
14 years 10 months ago
Progressive Iso-Surface Extraction from Hierarchical 3D Meshes
A multiresolution data decomposition offers a fundamental framework supporting compression, progressive transmission, and level-of-detail (LOD) control for large two or three dime...
Wenli Cai, Georgios Sakas, Roberto Grosso, Thomas ...
COMPGEOM
2010
ACM
15 years 3 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
CGF
2005
156views more  CGF 2005»
14 years 10 months ago
Efficient Animation of Point-Sampled Thin Shells
We present a novel framework for the efficient simulation and animation of discrete thin shells. Our method takes a point sampled surface as input and performs all necessary compu...
Martin Wicke, Denis Steinemann, Markus H. Gross