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» On the geometry of parametrized bicubic surfaces
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SIGGRAPH
1993
ACM
15 years 1 months ago
Interval methods for multi-point collisions between time-dependent curved surfaces
We present an efficient and robust algorithm for finding points of collision between time-dependent parametric and implicit surfaces. The algorithm detects simultaneous collisio...
John M. Snyder, Adam R. Woodbury, Kurt W. Fleische...
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
14 years 11 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
CVPR
2012
IEEE
12 years 12 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...
SIGGRAPH
1996
ACM
15 years 1 months ago
Automatic Reconstruction of B-Spline Surfaces of Arbitrary Topological Type
Creating freeform surfaces is a challenging task even with advanced geometric modeling systems. Laser range scanners offer a promising alternative for model acquisition--the 3D sc...
Matthias Eck, Hugues Hoppe
SMA
2005
ACM
131views Solid Modeling» more  SMA 2005»
15 years 3 months ago
Manifold splines
Constructing splines whose parametric domain is an arbitrary manifold and effectively computing such splines in realworld applications are of fundamental importance in solid and ...
Xianfeng Gu, Ying He 0001, Hong Qin