| Publication | Date of Publication | Type |
|---|
| Connections between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation | 2024-03-11 | Paper |
| A variational convex hull algorithm | 2024-02-23 | Paper |
| A priori error estimate of deep mixed residual method for elliptic PDEs | 2024-01-25 | Paper |
| Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model | 2023-12-13 | Paper |
| A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using Physics-Informed Neural Network | 2023-12-09 | Paper |
| A binary characterization method for shape convexity and applications | 2023-10-13 | Paper |
| A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems | 2023-09-29 | Paper |
| A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing | 2023-07-25 | Paper |
| Elastica Models for Color Image Regularization | 2023-07-21 | Paper |
| Variational image motion estimation by preconditioned dual optimization | 2023-04-18 | Paper |
| Deep convolutional neural networks with spatial regularization, volume and star-shape priors for image segmentation | 2022-12-09 | Paper |
| Generalization Error Analysis of Neural Networks with Gradient Based Regularization | 2022-11-07 | Paper |
| Convexity Shape Prior for Level Set-Based Image Segmentation Method | 2022-09-16 | Paper |
| A fast operator-splitting method for Beltrami color image denoising | 2022-08-05 | Paper |
| An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging | 2022-08-02 | Paper |
| Bregman-Proximal Augmented Lagrangian Approach to Multiphase Image Segmentation | 2022-06-03 | Paper |
| A new binary representation method for shape convexity and application to image segmentation | 2022-05-16 | Paper |
| Convex object(s) characterization and segmentation using level set function | 2022-04-20 | Paper |
| A Color Elastica Model for Vector-Valued Image Regularization | 2021-11-19 | Paper |
| Topology- and convexity-preserving image segmentation based on image registration | 2021-11-03 | Paper |
| A Level Set Representation Method for $N$-Dimensional Convex Shape and Applications | 2021-09-29 | Paper |
| An efficient multi-grid method for TV minimization problems | 2021-09-10 | Paper |
| Generalization Error Analysis of Neural networks with Gradient Based Regularization | 2021-07-06 | Paper |
| A new variational approach based on level-set function for convex hull problem with outliers | 2021-06-30 | Paper |
| Efficient and Convergent Preconditioned ADMM for the Potts Models | 2021-06-29 | Paper |
| Overlapping Domain Decomposition Methods for Ptychographic Imaging | 2021-06-29 | Paper |
| A multigrid algorithm for maxflow and min-cut problems with applications to multiphase image segmentation | 2021-06-15 | Paper |
| A regularized convolutional neural network for semantic image segmentation | 2021-03-25 | Paper |
| Variational Image Motion Estimation by Accelerated Dual Optimization | 2020-11-22 | Paper |
| Nonlocal regularized CNN for image segmentation | 2020-09-01 | Paper |
| Fast operator-splitting algorithms for variational imaging models: Some recent developments | 2020-07-10 | Paper |
| Survey of fast algorithms for Euler's elastica-based image segmentation | 2020-07-10 | Paper |
| Efficient ADMM and Splitting Methods for Continuous Min-cut and Max-flow Problems | 2020-04-23 | Paper |
| A globally convergent algorithm for a constrained non-Lipschitz image restoration model | 2020-04-16 | Paper |
| Curvature-based authentication of van Gogh paintings | 2020-04-07 | Paper |
| Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms | 2020-02-21 | Paper |
| Proximal ADMM for Euler's Elastica Based Image Decomposition Model | 2020-01-22 | Paper |
| Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data | 2019-12-16 | Paper |
| Segmentation by Elastica Energy with L<sup>1</sup> and L<sup>2</sup> Curvatures: a Performance Comparison | 2019-10-02 | Paper |
| A dual EM algorithm for TV regularized Gaussian mixture model in image segmentation | 2019-07-12 | Paper |
| Convex Shape Priors for Level Set Representation | 2018-11-12 | Paper |
| Topology-preserving image segmentation by Beltrami representation of shapes | 2018-10-19 | Paper |
| Simplified Energy Landscape for Modularity Using Total Variation | 2018-10-04 | Paper |
| Fast numerical schemes related to curvature minimization: a brief and elementary review | 2018-09-18 | Paper |
| New region force for variational models in image segmentation and high dimensional data clustering | 2018-04-03 | Paper |
| An effective region force for some variational models for learning and clustering | 2018-03-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4597495 | 2017-12-13 | Paper |
| A Direct Approach Toward Global Minimization for Multiphase Labeling and Segmentation Problems | 2017-10-27 | Paper |
| A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise | 2017-10-27 | Paper |
| Graph Cuts for Curvature Based Image Denoising | 2017-10-19 | Paper |
| Image Segmentation Based on GrabCut Framework Integrating Multiscale Nonlinear Structure Tensor | 2017-10-09 | Paper |
| Some Facts About Operator-Splitting and Alternating Direction Methods | 2017-09-01 | Paper |
| Convergent non-overlapping domain decomposition methods for variational image segmentation | 2017-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268655 | 2017-06-20 | Paper |
| Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours | 2017-02-03 | Paper |
| A Variational Approach for Detecting Feature Lines on Meshes | 2016-10-06 | Paper |
| A fast edge detection algorithm using binary labels | 2016-03-09 | Paper |
| Global binary optimization on graphs for classification of high-dimensional data | 2015-11-09 | Paper |
| Fast algorithm for color texture image inpainting using the non-local CTV model | 2015-09-22 | Paper |
| Efficient global minimization methods for image segmentation models with four regions | 2015-07-14 | Paper |
| Efficient Convex Optimization Approaches to Variational Image Fusion | 2015-06-29 | Paper |
| An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model | 2015-06-29 | Paper |
| Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models | 2015-06-23 | Paper |
| Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin--Osher--Fatemi Model Based on a Dual Formulation | 2015-05-15 | Paper |
| High-order total variation regularization approach for axially symmetric object tomography from a single radiograph | 2015-02-06 | Paper |
| Domain decomposition methods for nonlocal total variation image restoration | 2014-11-25 | Paper |
| Jointly Segmenting Prostate Zones in 3D MRIs by Globally Optimized Coupled Level-Sets | 2014-09-12 | Paper |
| Multi-class transductive learning based on \(\ell^1\) relaxations of Cheeger cut and Mumford-Shah-Potts model | 2014-07-11 | Paper |
| Augmented-Lagrangian regularization of matrix-valued maps | 2014-06-25 | Paper |
| A spatially continuous max-flow and min-cut framework for binary labeling problems | 2014-06-12 | Paper |
| A Convex and Exact Approach to Discrete Constrained TV-L1 Image Approximation | 2014-04-04 | Paper |
| Augmented Lagrangian method for a mean curvature based image denoising model | 2014-03-10 | Paper |
| Image segmentation using Euler's elastica as the regularization | 2014-01-29 | Paper |
| Augmented Lagrangian Methods for <em>p</em>-Harmonic Flows with the Generalized Penalization Terms and Application to Image Processing | 2013-11-19 | Paper |
| Stroke-Based Surface Reconstruction | 2013-11-19 | Paper |
| Four color theorem and convex relaxation for image segmentation with any number of regions | 2013-09-27 | Paper |
| A Ridge and Corner Preserving Model for Surface Restoration | 2013-06-26 | Paper |
| On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems | 2013-05-02 | Paper |
| Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models | 2013-04-15 | Paper |
| Multilayer graph cuts based unsupervised color-texture image segmentation using multivariate mixed Student's \(t\)-distribution and regional credibility merging | 2013-01-24 | Paper |
| On semi-implicit splitting schemes for the Beltrami color image filtering | 2013-01-22 | Paper |
| Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces | 2012-05-23 | Paper |
| Augmented Lagrangian method for generalized TV-Stokes model | 2012-05-23 | Paper |
| Domain decomposition methods with graph cuts algorithms for total variation minimization | 2012-05-23 | Paper |
| Application of splitting scheme and multigrid method for TV-Stokes denoising | 2012-05-09 | Paper |
| Geometry of total variation regularized \(L^p\)-model | 2012-04-24 | Paper |
| Global minimization for continuous multiphase partitioning problems using a dual approach | 2012-04-12 | Paper |
| Orientation-matching minimization for image denoising and inpainting | 2012-04-12 | Paper |
| Compression and denoising using \(l _{0}\)-norm | 2012-03-09 | Paper |
| A Modified TV-Stokes Model for Image Processing | 2011-12-07 | Paper |
| Augmented Lagrangian method for total variation restoration with non-quadratic fidelity | 2011-05-17 | Paper |
| A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method | 2011-05-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3085555 | 2011-03-31 | Paper |
| Reservoir description using a binary level set model | 2010-11-03 | Paper |
| A two-level domain decomposition method for image restoration | 2010-10-29 | Paper |
| Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models | 2010-07-26 | Paper |
| A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations | 2010-07-08 | Paper |
| 3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization | 2010-07-08 | Paper |
| A Saddle Point Approach to the Computation of Harmonic Maps | 2010-05-11 | Paper |
| Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method | 2009-12-11 | Paper |
| Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces | 2009-10-19 | Paper |
| A dual algorithm for minimization of the LLT model | 2009-07-24 | Paper |
| Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation | 2009-05-28 | Paper |
| Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization | 2009-05-28 | Paper |
| Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model | 2009-05-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3621216 | 2009-04-15 | Paper |
| On multiple level-set regularization methods for inverse problems | 2009-03-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3609583 | 2009-03-06 | Paper |
| A binary level set model and some applications to Mumford-Shah image segmentation | 2008-12-21 | Paper |
| Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time | 2008-12-21 | Paper |
| Noise Removal Using Smoothed Normals and Surface Fitting | 2008-12-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5446657 | 2008-03-06 | Paper |
| A nonlinear multigrid method for total variation minimization from image restoration | 2007-12-06 | Paper |
| A piecewise constant level set method for elliptic inverse problems | 2007-05-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3443102 | 2007-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3443112 | 2007-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3436985 | 2007-05-11 | Paper |
| A discrete de Rham complex with enhanced smoothness | 2007-05-09 | Paper |
| Image segmentation using some piecewise constant level set methods with MBO type of projection | 2007-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5487625 | 2006-09-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5484118 | 2006-08-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5477478 | 2006-07-03 | Paper |
| A variant of the level set method and applications to image segmentation | 2006-05-29 | Paper |
| Iterative image restoration combining total variation minimization and a second-order functional | 2006-01-09 | Paper |
| Scale Space and PDE Methods in Computer Vision | 2005-11-10 | Paper |
| Electrical impedance tomography using level set representation and total variational regularization | 2005-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4672206 | 2005-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4661443 | 2005-04-04 | Paper |
| Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids | 2005-03-10 | Paper |
| Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization | 2004-01-20 | Paper |
| Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities | 2004-01-18 | Paper |
| Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. | 2004-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4427728 | 2003-09-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4426211 | 2003-09-16 | Paper |
| Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation | 2003-04-03 | Paper |
| Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities | 2003-03-27 | Paper |
| Superconvergence for the Gradient of Finite Element Approximations byL2Projections | 2003-01-05 | Paper |
| A Robust Finite Element Method for Darcy--Stokes Flow | 2003-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4879826 | 2002-11-12 | Paper |
| Convergence rate analysis of an asynchronous space decomposition method for convex Minimization | 2002-05-06 | Paper |
| Subspace correction methods for nonsymmetric parabolic problems | 2002-04-30 | Paper |
| Global and uniform convergence of subspace correction methods for some convex optimization problems | 2001-12-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4233136 | 2001-11-13 | Paper |
| Accuracy of a domain decomposition method for the recovering of discontinuous heat sources in metal sheet cutting | 2001-06-04 | Paper |
| A robust nonconforming $H^2$-element | 2001-02-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4936867 | 2000-02-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4241706 | 1999-11-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4217229 | 1999-04-19 | Paper |
| A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems | 1999-03-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4218341 | 1998-11-11 | Paper |
| Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems | 1998-09-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4378195 | 1998-07-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4326694 | 1995-04-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4315567 | 1994-12-11 | Paper |
| Global extrapolation with a parallel splitting method | 1994-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4291906 | 1994-05-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3999550 | 1992-09-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3978946 | 1992-06-26 | Paper |
| Parallel finite element splitting-up method for parabolic problems | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3359710 | 1991-01-01 | Paper |
