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SIAMSC
2008
113views more  SIAMSC 2008»
13 years 9 months ago
Limited Data X-Ray Tomography Using Nonlinear Evolution Equations
A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{(x)...
Ville Kolehmainen, Matti Lassas, Samuli Siltanen
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 9 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 9 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...
SIAMSC
2008
145views more  SIAMSC 2008»
13 years 9 months ago
Fast Multilevel Algorithm for a Minimization Problem in Impulse Noise Removal
An effective 2-phase method for removing impulse noise was recently proposed. Its phase 1 identifies noisy pixel candidates by using median-type filters. Then in phase 2, it resto...
Raymond H. Chan, Ke Chen 0002
SIAMSC
2008
198views more  SIAMSC 2008»
13 years 9 months ago
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
A model-constrained adaptive sampling methodology is proposed for reduction of large-scale systems with high-dimensional parametric input spaces. Our model reduction method uses a ...
T. Bui-Thanh, Karen Willcox, Omar Ghattas