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» Discrete laplace operator on meshed surfaces
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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
SCALESPACE
2007
Springer
14 years 1 months ago
Discrete Regularization on Weighted Graphs for Image and Mesh Filtering
We propose a discrete regularization framework on weighted graphs of arbitrary topology, which unifies image and mesh filtering. The approach considers the problem as a variation...
Sébastien Bougleux, Abderrahim Elmoataz, Ma...
ISBI
2004
IEEE
14 years 8 months ago
Diffusion Smoothing on Brain Surface via Finite Element Method
Surface data such as the segmented cortical surface of the human brain plays an important role in medical imaging. To increase the signal-to-noise ratio for data residing on the b...
Moo Chung, Jonathan Taylor
COMPGEOM
2008
ACM
13 years 9 months ago
Schnyder woods for higher genus triangulated surfaces
In this paper we introduce a unified framework for topological manipulation on triangulated 2-manifolds with or without boundary. We show that there are two kinds of primitive oper...
Luca Castelli Aleardi, Éric Fusy, Thomas Le...
TIP
2008
130views more  TIP 2008»
13 years 7 months ago
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing
We introduce a nonlocal discrete regularization framework on weighted graphs of the arbitrary topologies for image and manifold processing. The approach considers the problem as a...
Abderrahim Elmoataz, Olivier Lezoray, Sébas...