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MCS
2007
Springer
13 years 4 months ago
Computing the principal eigenvalue of the Laplace operator by a stochastic method
We describe a Monte Carlo method for the numerical computation of the principal eigenvalue of the Laplace operator in a bounded domain with Dirichlet conditions. It is based on th...
Antoine Lejay, Sylvain Maire
CAD
2006
Springer
13 years 4 months ago
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
This paper introduces a method to extract `Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (i.e. the s...
Martin Reuter, Franz-Erich Wolter, Niklas Peinecke
CVPR
2012
IEEE
11 years 7 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...
AUTOMATICA
2008
90views more  AUTOMATICA 2008»
13 years 4 months ago
On the infinite time solution to state-constrained stochastic optimal control problems
: For an infinite-horizon optimal control problem, the cost does not, in general, converge. The classical work-around to this problem is to introduce a discount or "forgetting...
Per Rutquist, Claes Breitholtz, Torsten Wik
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 2 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