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MMAS
2011
Springer
12 years 7 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
SIAMSC
2010
127views more  SIAMSC 2010»
13 years 3 months ago
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
We present a new nonlinear optimization procedure for the computation of generalized Gaussian quadratures for a broad class of square integrable functions on intervals. While some ...
James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin
FOCM
2010
122views more  FOCM 2010»
13 years 2 months ago
Scattering in Flatland: Efficient Representations via Wave Atoms
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we ...
Laurent Demanet, Lexing Ying
MICCAI
2009
Springer
14 years 6 months ago
A Generic Probabilistic Active Shape Model for Organ Segmentation
Probabilistic models are extensively used in medical image segmentation. Most of them employ parametric representations of densities and make idealizing assumptions, e.g. normal di...
Andreas Wimmer, Grzegorz Soza, Joachim Hornegger
ECCV
2004
Springer
14 years 6 months ago
Shape Reconstruction from 3D and 2D Data Using PDE-Based Deformable Surfaces
In this paper, we propose a new PDE-based methodology for deformable surfaces that is capable of automatically evolving its shape to capture the geometric boundary of the data and ...
Ye Duan, Liu Yang, Hong Qin, Dimitris Samaras