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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 5 months ago
Convergence, Stability, and Discrete Approximation of Laplace Spectra
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...
Tamal K. Dey, Pawas Ranjan, Yusu Wang
COMPGEOM
2008
ACM
13 years 10 months ago
Discrete laplace operator on meshed surfaces
In recent years a considerable amount of work in graphics and geometric optimization used tools based on the Laplace-Beltrami operator on a surface. The applications of the Laplac...
Mikhail Belkin, Jian Sun, Yusu Wang
SIAMNUM
2010
96views more  SIAMNUM 2010»
13 years 3 months ago
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
Wolfgang Boiger, Carsten Carstensen
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
14 years 2 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
HYBRID
2003
Springer
14 years 1 months ago
Approximate Stabilisation of Uncertain Hybrid Systems
Abstract−Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the co...
Yan Gao, John Lygeros, Marc Quincampoix, Nicolas S...