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» Focal surfaces of discrete geometry
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CVPR
2012
IEEE
11 years 10 months 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...
COMPGEOM
2010
ACM
13 years 11 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
TOG
2008
239views more  TOG 2008»
13 years 7 months ago
Skeleton extraction by mesh contraction
eleton is a very useful 1D structure to abstract the geometry and topology of a 3D object. Extraction of curve-skeletons is a fundamental problem in computer graphics, visualizatio...
Oscar Kin-Chung Au, Chiew-Lan Tai, Hung-Kuo Chu, D...
COMPGEOM
2003
ACM
14 years 23 days ago
Controlled perturbation for arrangements of circles
Given a collection C of circles in the plane, we wish to construct the arrangement A(C) (namely the subdivision of the plane into vertices, edges and faces induced by C) using fl...
Dan Halperin, Eran Leiserowitz
TVCG
2010
157views more  TVCG 2010»
13 years 5 months ago
Metric-Driven RoSy Field Design and Remeshing
—Designing rotational symmetry fields on surfaces is an important task for a wide range of graphics applications. This work introduces a rigorous and practical approach for auto...
Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He 0001, ...