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SIAMSC
2010
161views more  SIAMSC 2010»
13 years 8 months ago
Surface Reconstruction and Image Enhancement via L1-Minimization
A surface reconstruction technique based on minimization of the total variation of the gradient is introduced. Convergence of the method is established, and an interior-point algor...
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov
SIAMSC
2010
158views more  SIAMSC 2010»
13 years 8 months ago
Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods
In this paper, we study alternating direction methods for solving constrained total-variation image restoration and reconstruction problems. Alternating direction methods can be im...
Michael K. Ng, Pierre Weiss, Xiaoming Yuan
SIAMSC
2010
159views more  SIAMSC 2010»
13 years 8 months ago
Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
A greedy algorithm for the construction of a reduced model with reduction in both parameter and state is developed for efficient solution of statistical inverse problems governed b...
Chad Lieberman, Karen Willcox, Omar Ghattas
SIAMSC
2008
193views more  SIAMSC 2008»
13 years 9 months ago
Exact and Approximate Sparse Solutions of Underdetermined Linear Equations
Abstract. In this paper, we empirically investigate the NP-hard problem of finding sparsest solutions to linear equation systems, i.e., solutions with as few nonzeros as possible. ...
Sadegh Jokar, Marc E. Pfetsch
SIAMSC
2008
188views more  SIAMSC 2008»
13 years 9 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler