Browsing Department of Mathematics by Author "Tai, Xue-Cheng"
Now showing items 1-20 of 28
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A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior
Yuan, Jing; Bae, Egil; Boykov, Yuri; Tai, Xue-Cheng (Chapter; Peer reviewed, 2011)This paper investigates a convex relaxation approach for minimum description length (MDL) based image partitioning or labeling, which proposes an energy functional regularized by the spatial smoothness prior joint with a ... -
Convergence Rate Analysis of an Asynchronous Space Decomposition Method for Convex Minimization
Tai, Xue-Cheng; Tseng, Paul (Department of Applied Mathematics report, Research report, 1998-08) -
Convergence Rate Analysis of Domain Decomposition Methods for Obstacle Problems
Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1999-01) -
Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation
Bae, Egil; Tai, Xue-Cheng (Peer reviewed; Journal article, 2009)The Mumford-Shah model is an important variational image segmentation model. A popular multiphase level set approach, the Chan-Vese model, was developed as a numerical realization by representing the phases by several ... -
A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems
Bae, Egil; Yuan, Jing; Tai, Xue-Cheng; Boykov, Yuri (Working paper, 2011)This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization ... -
Global Convergence of Subspace Correction Methods for Convex Optimization Problems
Tai, Xue-Cheng; Xu, Jinchao (Department of Applied Mathematics report, Research report, 1998-03) -
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
Bae, Egil; Yuan, Jing; Tai, Xue-Cheng (Peer reviewed; Journal article, 2011)This paper is devoted to the optimization problem of continuous multi-partitioning, or multi-labeling, which is based on a convex relaxation of the continuous Potts model. In contrast to previous efforts, which are tackling ... -
A Hybrid Domain Decomposition Method for Advection-Diffusion Problems
Espedal, Magne S.; Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1996-09) -
Identification of a nonlinear parameter in a parabolic equation by a linear approach
Tai, Xue-Cheng; Kärkkäinen, Tommi (Department of Applied Mathematics report, Research report, 1993-03) -
On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering
Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron (Peer reviewed; Journal article, 2011-01-15)The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow ... -
On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering
Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron (Peer reviewed; Journal article, 2011)The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow ... -
Overlapping domain Decomposition and multigrid Methods of inverse Problems
Tai, Xue-Cheng; Frøyen, Johnny; Espedal, Magne S.; Chan, Tony F. (Department of Applied Mathematics report, Research report, 1997-11) -
Parallel function decomposition and space decomposition methods - part II. Applications to splitting and domain decomposition
Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1994-04) -
Parallel Function Decomposition Methods and Numerical Applications
Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1997-09) -
Parameter estimation with the augmented Lagrangian method for a parabolic equation.
Nilssen, Trygve K.; Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 2001-01) -
PDE Based Algorithms for Smooth Watersheds
Hodneland, Erlend; Tai, Xue-Cheng; Kalisch, Henrik (Peer reviewed; Journal article, 2016-04)Watershed segmentation is useful for a number of image segmentation problems with a wide range of practical applications. Traditionally, the tracking of the immersion front is done by applying a fast sorting algorithm. In ... -
Permeability estimation with the Augmented Lagrangian method for a nonlinear diffusion equation.
Nilssen, Trygve K.; Mannseth, Trond; Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 2001-01) -
Rate of Convergence for some constraint Dcomposition methods for nonlinear variational inequalities.
Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 2000-10) -
Rate of Convergence for Subspace Correction Methods for nonlinear Variational Inequalities
Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1999-09) -
Rate of Convergence of a Space Decomposition method and Applications to Linear and Nonlinear Elliptic Problems
Espedal, Magne S.; Tai, Xue-Cheng (Department of Applied Mathematics report, Research report, 1996-09)