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CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 7 months ago
Locally computable approximations for spectral clustering and absorption times of random walks
We address the problem of determining a natural local neighbourhood or "cluster" associated to a given seed vertex in an undirected graph. We formulate the task in terms...
Pekka Orponen, Satu Elisa Schaeffer, Vanesa Avalos...
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 7 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 7 months ago
A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
We present a fast direct solver methodology for the Dirichlet biharmonic problem in a rectangle. The solver is applicable in the case of the second order Stephenson scheme [34] as ...
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fi...
MICCAI
2002
Springer
14 years 8 months ago
New Approaches to Estimation of White Matter Connectivity in Diffusion Tensor MRI: Elliptic PDEs and Geodesics in a Tensor-Warpe
Abstract. We investigate new approaches to quantifying the white matter connectivity in the brain using Diffusion Tensor Magnetic Resonance Imaging data. Our first approach finds a...
Lauren O'Donnell, Steven Haker, Carl-Fredrik Westi...
JCP
2007
214views more  JCP 2007»
13 years 7 months ago
Reconstruction of 3D Human Facial Images Using Partial Differential Equations
—One of the challenging problems in geometric modeling and computer graphics is the construction of realistic human facial geometry. Such geometry are essential for a wide range ...
Eyad Elyan, Hassan Ugail