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SIAMIS
2010
147views more  SIAMIS 2010»
13 years 6 months ago
Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
In image processing, the Rudin-Osher-Fatemi (ROF) model [L. Rudin, S. Osher, and E. Fatemi, Physica D, 60(1992), pp. 259–268] based on total variation (TV) minimization has prove...
Chunlin Wu, Xue-Cheng Tai
SIAMJO
2010
83views more  SIAMJO 2010»
13 years 6 months ago
The Lifted Newton Method and Its Application in Optimization
Abstract. We present a new “lifting” approach for the solution of nonlinear optimization problems (NLPs) that have objective and constraint functions with intermediate variable...
Jan Albersmeyer, Moritz Diehl
SIAMJO
2010
107views more  SIAMJO 2010»
13 years 6 months ago
Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variation
Abstract. This paper concerns second-order analysis for a remarkable class of variational systems in finite-dimensional and infinite-dimensional spaces, which is particularly imp...
René Henrion, Boris S. Mordukhovich, Nguyen...
SIAMSC
2010
270views more  SIAMSC 2010»
13 years 6 months ago
High Order Numerical Methods to Three Dimensional Delta Function Integrals in Level Set Methods
In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
Xin Wen
SIAMSC
2010
141views more  SIAMSC 2010»
13 years 6 months ago
An Iterative Method for Edge-Preserving MAP Estimation When Data-Noise Is Poisson
In numerous applications of image processing, e.g. astronomical and medical imaging, data-noise is well-modeled by a Poisson distribution. This motivates the use of the negative-lo...
Johnathan M. Bardsley, John Goldes
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