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Academic article

- 2015. Variational time-implicit multiphase level-sets a fast convex optimization-based solution. Lecture Notes in Computer Science (LNCS). 278-291.
- 2015. Global binary optimization on graphs for classification of high-dimensional data. Journal of Mathematical Imaging and Vision. 414-435.
- 2015. Fast algorithm for color texture image inpainting using the non-local CTV model. Journal of Global Optimization. 24 pages.
- 2015. Efficient global minimization methods for image segmentation models with four regions. Journal of Mathematical Imaging and Vision. 71-97.
- 2015. Convergence rate of overlapping domain decomposition methods for the Rudin–Osher–Fatemi model based on a dual formulation. SIAM Journal of Imaging Sciences. 564-591.
- 2015. A fast edge detection algorithm using binary labels. Inverse Problems and Imaging. 551-578.

- 2014. Multi-class transductive learning based on ℓ1 relaxations of Cheeger cut and Mumford-Shah-Potts model. Journal of Mathematical Imaging and Vision. 191-201.
- 2014. Efficient convex optimization approaches to variational image fusion. Numerical Mathematics: Theory, Methods and Applications. 234-250.
- 2014. Domain decomposition methods for nonlocal total variation image restoration. Journal of Scientific Computing. 79-100.
- 2014. A spatially continuous max-flow and min-cut framework for binary labeling problems. Numerische Mathematik. 559-587.
- 2014. A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions. Journal of Visual Communication and Image Representation. 1472-1488.

- 2013. Reconstructing open surfaces via graph-cuts. IEEE Transactions on Visualization and Computer Graphics. 306-318.
- 2013. On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems. Inverse Problems. 23 pages.
- 2013. Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed student's t-distribution and regional credibility merging. Pattern Recognition. 1101-1124.
- 2013. Image segmentation using Euler's elastica as the regularization. Journal of Scientific Computing. 414-438.
- 2013. Four color theorem and convex relaxation for image segmentation with any number of regions. Lecture notes in mathematics. 1099-1113.
- 2013. Four color theorem and convex relaxation for image segmentation with any number of regions. Inverse Problems and Imaging. 1099-1113.
- 2013. Augmented Lagrangian method for a mean curvature based image denoising model. Inverse Problems and Imaging. 1409-1432.
- 2013. Augmented Lagrangian method for a mean curvature based image denoising model. Lecture notes in mathematics. 1409-1432.
- 2013. Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Advances in Computational Mathematics. 101-131.
- 2013. A weighted dictionary learning model for denoising images corrupted by mixed noise. IEEE Transactions on Image Processing. 1108-1120.
- 2013. A ridge and corner preserving model for surface restoration. SIAM Journal on Scientific Computing. A675-A695.

- 2012. Geometry of total variation regularized L-p-model. Journal of Computational and Applied Mathematics. 2223-2234.
- 2012. Domain decomposition methods with graph cuts algorithms for total variation minimization. Advances in Computational Mathematics. 175-199.
- 2012. Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces. Journal of Scientific Computing. 145-166.
- 2012. Augmented Lagrangian Method for Generalized TV-Stokes Model. Journal of Scientific Computing. 235-264.
- 2012. A direct approach toward global minimization for multiphase labeling and segmentation roblems. IEEE Transactions on Image Processing. 2399-2411.

- 2011. On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering. Journal of Mathematical Imaging and Vision. 199-213.
- 2011. Multiple piecewise constant with geodesic active contours (MPC-GAC) framework for interactive image segmentation using graph cut optimization. Image and Vision Computing. 499-508.
- 2011. Image denoising and deblurring: non-convex regularization, inverse diffusion and shock filter. Science in China Series F: Information Sciences. 1184-1198.
- 2011. Graph Cuts for Curvature Based Image Denoising. IEEE Transactions on Image Processing. 1199-1210.
- 2011. Augmented Lagrangian method for total variation restoration with non-quadratic fidelity. Lecture notes in mathematics. 237-261.
- 2011. Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces. Journal of Scientific Computing. 237-261.
- 2011. Application of splitting scheme and multigrid method for TV-Stokes denoising. Science in China Series F: Information Sciences. 745-756.
- 2011. A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method. SIAM Journal of Imaging Sciences. 313-344.

- 2010. Fast Image Segmentation Based on Multilevel Banded Closed-Form Method. Pattern Recognition Letters. 216-225.
- 2010. Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models. SIAM Journal of Imaging Sciences. 300-339.
- 2010. A two-level domain decomposition method for image restoration. Lecture notes in mathematics. 523-545.
- 2010. A level set formulation of geodesic curvature flow on simplicial surfaces. IEEE Transactions on Visualization and Computer Graphics. 647-662.

- 2009. Scale-space analysis of discrete filtering over arbitrary triangulated surfaces. SIAM Journal of Imaging Sciences. 670-709.
- 2009. On semi-implicit splitting schemes for the beltrami color flow. Lecture Notes in Computer Science (LNCS). 259-270.
- 2009. On multiple level set regularization methods for inverse problems. Inverse Problems. 1-22.
- 2009. On level-set type methods for recovering piecewise constant solutions of ill-posed problems. Lecture Notes in Computer Science (LNCS). 50-62.
- 2009. Multiple Piecewise Constant Active Contours for Image Segmentation Using Graph Cuts Optimization. UCLA Applied Mathematics CAM-report.
- 2009. Model the Solvent-Excluded Surface of 3D Protein Molecular Structures Using Geometric PDE-Based Level-Set Method. Communications in Computational Physics. 777-792.
- 2009. L0 norm and total variation for wavelet inpainting. Lecture Notes in Computer Science (LNCS). 539-551.
- 2009. Image zooming algorithm based on partial differential equations technique. International Journal of Numerical Analysis & Modeling. 282-292.
- 2009. Image denoising using TV-stokes equation with an orientation-matching minimization. Lecture Notes in Computer Science (LNCS). 490-501.
- 2009. Image Segmentation Based on GrabCut Framework Integrating Multi-scale Nonlinear Structure Tensor. IEEE Transactions on Image Processing. 2289-2302.
- 2009. Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Computational Geosciences. 317-329.
- 2009. Graph cut optimization for the Piecewise Constant Level Set Method applied to multiphase image segmentation. Lecture Notes in Computer Science (LNCS). 1-13.
- 2009. Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach. UCLA Applied Mathematics CAM-report.
- 2009. Four-color theorem and level set methods for watershed segmentation. International Journal of Computer Vision. 264-283.
- 2009. Efficient global minimization for the multiphase Chan-Vese Model of image segmentation. Lecture Notes in Computer Science (LNCS). 28-41.
- 2009. Efficient Global Optimization for the Multiphase Chan-Vese Model of Image Segmentation by Graph Cuts. UCLA Applied Mathematics CAM-report.
- 2009. Domain Decomposition Methods with Graph Cuts Algorithms for Image Segmentation. UCLA Applied Mathematics CAM-report.
- 2009. Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models. UCLA Applied Mathematics CAM-report.
- 2009. Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model. Lecture Notes in Computer Science (LNCS). 502-513.
- 2009. Augmented Lagrangian Method for Total Variation Restoration with Non-Quadratic Fidelity. UCLA Applied Mathematics CAM-report.
- 2009. An efficient method for smart well production optimisation. Journal of Petroleum Science and Engineering. 25-39.
- 2009. An efficient method for smart well production optimisation. Journal of Petroleum Science and Engineering. 25-39.
- 2009. Adaptive Wavelet Collocation Methods for Image Segmentation Using TV-Allen-Cahn Type Models. UCLA Applied Mathematics CAM-report.
- 2009. A unified framework for automated 3-D segmentation of surface-stained living cells and a comprehensive segmentation evaluation. IEEE Transactions on Medical Imaging. 720-738.
- 2009. A saddle point approach to the computation of harmonic maps. SIAM Journal on Numerical Analysis. 1500-1523.
- 2009. A dual algorithm for minimization of the LLT model. Advances in Computational Mathematics. 115-130.
- 2009. A Variational Multiphase Model based on the Piecewise Constant Level Set Method and Phase Transitions. UCLA Applied Mathematics CAM-report.
- 2009. A Two-Level Domain Decomposition Method for Image Restoration. UCLA Applied Mathematics CAM-report.
- 2009. A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations. Numerical Mathematics: Theory, Methods and Applications. 353-376.
- 2009. 3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization. Numerical Mathematics: Theory, Methods and Applications. 403-420.

- 2008. Reservoir description using a binary level set model. Computing and Visualization in Science.
- 2008. Reservoir description by using a Piecewise Constant Level Set Method. Journal of Computational Mathematics. 365-377.
- 2008. Four-color theorem and level-set methods for watershed segmentation. International Journal of Computer Vision. 1-20.

- 2007. Piecewise Constant Level Set Method for multiphase motion. International Journal of Numerical Analysis & Modeling. 291-305.
- 2007. Image segmentation using some piecewise constant level set methods with MBO type of projection. International Journal of Computer Vision. 61-76.
- 2007. A piecewise constant level set method for elliptic inverse problems. Applied Numerical Mathematics. 686-696.
- 2007. A nonlinear multigrid method for total variation minimization from image restoration. Journal of Scientific Computing. 115-138.
- 2007. A binary level set model for elliptic inverse problems with discontinuous coefficients. International Journal of Numerical Analysis & Modeling. 74-99.

- 2006. Piecewise Constant Level Set Methods for Multiphase Motion. UCLA Applied Mathematics CAM-report.
- 2006. Piecewise Constant Level Set Method for Interface Problems. UCLA Applied Mathematics CAM-report.
- 2006. Noise Removal of Seismic Data Using a Fourth-Order Parabolic PDE. International Journal of Tomography & Statistics. 63-89.
- 2006. Noise Removal of Seismic Data Using a Fourth-Order Parabolic PDE. International Journal of Tomography & Statistics. 63-89.
- 2006. Iterative image restoration combining total variation minimization and a second-order functional. International Journal of Computer Vision. 5-18.
- 2006. Image segmentation by piecewise constant Mumford-Shah model without estimating the constants. Journal of Computational Mathematics. 435-443.
- 2006. Fast Implementation of Piecewise Constant Level Set Methods. UCLA Applied Mathematics CAM-report.
- 2006. Automated detection of tunneling nanotubes in 3D images. Cytometry. 961-972.
- 2006. An Efficient Operator-Splitting Method for Noise Removal in Images. Communications in Computational Physics. 847-8858.
- 2006. A variant of the level set method and applications to image segmentation. Mathematics of Computation. 1155-1174.
- 2006. A discrete de Rham complex with enhanced smoothness. Calcolo. 287-306.
- 2006. A binary level set model and some applications to Mumford-Shah image segmentation. IEEE Transactions on Image Processing. 1171-1181.
- 2006. A TV-Stokes Denoising Algorithm. UCLA Applied Mathematics CAM-report.

- 2005. Splitting method for noise removal in images. UCLA Applied Mathematics CAM-report.
- 2005. Reservoir description using a binary level set model. UCLA Applied Mathematics CAM-report.
- 2005. Piecewise constant level set methods and image segmentation. Lecture Notes in Computer Science (LNCS). 573-584.
- 2005. Parameter estimation with the augmented Lagrangian method for a parabolic equation. Journal of Optimization Theory and Applications. 18 pages.
- 2005. Nonlinear positive interpolation operators for analysis with multilevel grids. Lecture Notes in Computational Science and Engineering. 477-486.
- 2005. Iterative image restoration combining total variation minimization and a second order functional. UCLA Applied Mathematics CAM-report.
- 2005. Fast piecewise constant level set methods (PCLSM) with Newton updating. UCLA Applied Mathematics CAM-report.
- 2005. Electrical impedance tomography using level set representation and total variational regularization. Journal of Computational Physics.
- 2005. A remark on the MBO scheme and some piecewise constant level set methods. UCLA Applied Mathematics CAM-report.
- 2005. A piecewise constant level set methods for elliptic inverse problems. UCLA Applied Mathematics CAM-report.
- 2005. A piecewise constant level set framework. International Journal of Numerical Analysis & Modeling. 422-438.
- 2005. A nonlinear multigrid method fro curvature equation related to total variation minimization. UCLA Applied Mathematics CAM-report.
- 2005. A binary lecvel set model for elliptic inverse problems with discontinuouse coefficient. UCLA Applied Mathematics CAM-report.

- 2004. Noise removal using smoothed normals and surface fitting. IEEE Transactions on Image Processing. 1345-1357.
- 2004. Noise removal using fourth-order partial differential equation with application to medical magnetic resonance images in space and time. IEEE Transactions on Image Processing. 1579-1590.
- 2004. Noise Removal Using Smoothed Normals and Surface Fitting. IEEE Transactions on Image Processing. 1345-1457.
- 2004. Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. Journal of Computational Physics. 40-66.
- 2004. Level Set And Total Variation Regularization For Elliptic Inverse Problems With Discontinuous Coefficients. Journal of Computational Physics. 40-66.
- 2004. A survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions. International Journal of Numerical Analysis & Modeling. 25-48.
- 2004. A survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions. International Journal of Numerical Analysis & Modeling. 25-48.
- 2004. A Level Set Method for Solving Free Boundary Problems Associated with Obstacles. International Journal of Numerical Analysis & Modeling. 157-172.
- 2004. A Level Set Method for Solving Free Boundary Problems Associated with Obstacles. International Journal of Numerical Analysis & Modeling. 157-172.
- 2004. A Binary Level Set Model and Some Applications to Mumford-Shah Image Segmentation. UCLA Applied Mathematics CAM-report.
- 2004. A Binary Level Set Model and Some Applications to Mumford-Shah Image Segmentation. UCLA Applied Mathematics CAM-report.

- 2003. Some new domain decomposition and multigrid methods for variational inequalities,. Proceedings of the international domain decomposition conference. 323-330.
- 2003. Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities. Numerische Mathematik. 755-786.
- 2003. Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation. Computational Geosciences. 27-47.
- 2003. Noise removal using fourth-order partial differential equation with application to medical magnetic resonance images in space and time. IEEE Transactions on Image Processing. 1579-1590.
- 2003. Noise Removal Using Fourth-Order Partial Differential Equations with Applications to Medical Magnetic Resonance Images in Space and Time. IEEE Transactions on Image Processing. 1579-1590.
- 2003. Multiple Level Set Methods and Some Applications for Identifying Piecewise Constant Functions. UCLA Applied Mathematics CAM-report.
- 2003. Identification of Discontinuous Coefficients from Elliptic Problems Using Total Variation Regularization. SIAM Journal on Scientific Computing. 881-904.
- 2003. Electrical Impedance Tomography Using Level Set Representation and Total Variational Regularization. UCLA Applied Mathematics CAM-report.
- 2003. Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. SIAM Journal on Numerical Analysis. 1052|-1073.
- 2003. A Variant of the Level Set Method and Applications to Image Segmentation. UCLA Applied Mathematics CAM-report.
- 2003. A Level Set Method for Solving Free Boundary Problems Associated with Obstacles. UCLA Applied Mathematics CAM-report.

- 2002. Superconvergence for the gradient of finite element approximations by $L^2$-projections. SIAM Journal on Numerical Analysis. 1263-1280.
- 2002. Domain decomposition and multigrid methods for obstacle problems. Lecture Notes in Computer Science (LNCS). 345-352.
- 2002. A robust finite element method for Darcy-Stokes flow. SIAM Journal on Numerical Analysis. 1605-1631.

- 2001. Subspace correction methods for nonsymmetric parabolic problems. Linear Algebra and its Applications. 205-234.
- 2001. Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation. Computational Geosciences. 22 pages.
- 2001. Global convergence of subspace correction methods for convex optimization problems. Mathematics of Computation. 105-124.
- 2001. Convergence rate analysis of domain decomposition methods for obstacle problems. East-West Journal of Numerical Analysis. 179-252.
- 2001. Convergence rate analysis of an asynchronous space decomposition method for convex minimization. Mathematics of Computation. 1105-1135.
- 2001. A robust nonconforming H2-element. Mathematics of Computation. 489-505.
- 2001. A robust nonconforming $H^2$-element. Mathematics of Computation. 489-505.

- 2000. A robust $H^2$ element. Mathematics of Computation.

- 1999. Accuracy of a domaine decomposition method for recovering of discontineous heat sourcees in metal cutting. Computing and Visualization in Science. 149-152.
- 1999. Accuracy of a domain decomposition method for the recovering of discontinuos heat sources in metal sheet cutting. Computing and Visualization in Science. 149-154.

- 1998. Rate of convergence of some space decomposition methods for linear and nonlinear problems. SIAM Journal on Numerical Analysis. 1558-1570.
- 1998. Rate of convergence of some space decomposition methods. SIAM Journal on Numerical Analysis. 1558-1570.
- 1998. Overlapping domain decomposition and multigrid Methods for Inverse Problems. Contemporary Mathematics. 523-529.
- 1998. Applications of a domain decomposition method to linear and nonlinear elliptic problems. Numerical Methods for Partial Differential Equations. 717-737.
- 1998. Application of a Space decomposition Methods to linear and nonlinear elliptic problems. International Journal for Numerical Methods in Engineering. 717-737.
- 1998. A space decomposition method for parabolic problems. Numerical Methods for Partial Differential Equations. 27-46.
- 1998. A space decomposition method for parabolic problems. Numerical Methods for Partial Differential Equations. 27-46.
- 1998. A hybrid domain decomposition method for advection-diffisuion problems. Numerical Algorithms. 321-336.
- 1998. A hybrid decomposition method for advective diffusion problems. Numerical Algorithms. 16.

- 1997. Sequential and parallel splitting methods for bilinear control problems in Hilbert spaces. SIAM Journal on Numerical Analysis. 91-118.

- 1996. Sequential and parallel plitting methods for bilinear Control problems in Hilbert spaces. SIAM Journal on Numerical Analysis.

- 1995. Parallel function and space decomposition methods - Part II. space decomposition. Beijing Mathematics. 135-152.
- 1995. Parallel function and space decomposition methods - Part I. function decomposition. Beijing Mathematics. 104-134.
- 1995. Identification of a nonlinear parameter in a parabolic equation from a linear equation. Comp. Appl. Mat. 157-184.
- 1995. Identification of a nonlinear parameter in a parabolic equation from a linear equation. Matemática aplicada e computacional. 157-184.

- 1994. Parallel function and space decomposition methods. Lecture Notes in Pure and Applied Mathematics. 421-432.

- 1992. Global extrapolation with a parallel splitting method. Numerical Algorithms. 427-440.
- 1992. Error estimates for numerical identification of distributed parameters. Journal of Computational Mathematics. 66-78.
- 1992. A parallel splitting up method for partial differential equations and its application to Navier-Stokes equations. Mathematical Modelling and Numerical Analysis. 673-708.

- 1991. A parallel splitting up method and its application to Navier-Stokes equations. Applied Mathematics Letters. 25-29.
- 1991. A parallel finite element splitting-up methods for parabolic problems. Numerical Methods for Partial Differential Equations. 209-225.

- 1990. Finite element methods used in one and two dimensional distributed parameter identification problems of parabolic type. Mathematica Numerica Sinica. 1-8.

Academic lecture

- 2013. Fast numerical schemes related to curvature minimization: a brief and elementary review.

- 2007. Efficient History Matching and Production Optimization with the Augmented Lagrangian Method.

- 2005. Using Navier-Stokes equations for digital image denoising and restoration.
- 2005. Piecewise constant level set methods and their fast solutions for image segmentation.
- 2005. Multiphase piecewise constant level set methods for shape identification.
- 2005. Multiphase piecewise constant level set methods for shape identification.
- 2005. Multiphase Piecewise Constant Level Set Methods For Shape Identification.
- 2005. Inverse Problems and Parameter Identification for PDE Models.
- 2005. A Remark on MBO scheme and some Piecewise Constant Level Set Methods.

- 2004. Using Navier-Stokes equations for digital image denoising and restoration.
- 2004. Uniform finite elemenets for singular perturbed 4th order problem and Stokes problems.
- 2004. Superconvergence for the gradient of finite element approximation by $L^2$-projection and applications to mesh adaptivity.
- 2004. Some Variants of the Level Set Methods and Applications to Image Segmentation and Some Other Medical Imaging Problems.
- 2004. Piecewise constant level set methods and their fast solutions for image segmentation.
- 2004. Nonlinear positive interpolation operators and mesh independent algorithms for variational inequalities.
- 2004. Noise Removal Using Smoothed Normals and Surface Fitting.
- 2004. Level Set Methods for Recovering Permeabilities Functions.
- 2004. Image processing using partial differential equations.
- 2004. Image processing using PDE tools and Shape identification using level set methods.
- 2004. Image inpainting using Navier-Stakes equations and surface fitting.
- 2004. A remark on MBO scheme and multiphase piecewise constant level set methods.

- 2002. Noise removal using fourth-order partial differential equations with applications to medical magnetic resonance images in space and time.
- 2002. Level set methods for a parameter identification problem.
- 2002. Level set methods for a parameter identification problem.

- 2001. Noise removal with tissue boundary preservation using fourth-order partial diffrenetial equations.
- 2001. Noise removal with tissue boundary preservation.

- 2000. Rate of Convergence for Parallel Subspace Correction Methods for nonlinear variational inequalities.

- 1997. Pointwise error estimates for distributed parameter identification.
- 1997. Identification of the discontinuios permability of a one phase flow reservoir by Petrov-Galerkin method.
- 1997. A characteristic domain splitting method.

- 1996. Some nonlinear space decomposition algorithms.
- 1996. A characteristic domain splitting method.
- 1996. A characteristic domain decomposition method for modeling flow in a coastal aquifer.

Academic anthology/Conference proceedings

- 2018. Imaging, Vision and Learning Based on Optimization and PDEs. Springer.

- 2015. Energy Minimization Methods in Computer Vision and Pattern Recognition, 10th International Conference, EMMCVPR 2015, Hong Kong, China, January 13-16, 2015. Proceedings. Springer.

- 2014. Efficient Algorithms for Global Optimization Methods in Computer Vision. Springer.

- 2013. Energy Minimization Methods in Computer Vision and Pattern Recognition. Springer.

- 2009. Scale Space and Variational Methods in Computer Vision. Springer.

- 2007. Image Processing based on Partial differential equations. Springer.

- 2006. Image Processing based on Partial differential equations. Springer.

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