Image Recovery via Nonlocal Operators
Journal of Scientific Computing
Removing Multiplicative Noise by Douglas-Rachford Splitting Methods
Journal of Mathematical Imaging and Vision
Deblurring Poissonian images by split Bregman techniques
Journal of Visual Communication and Image Representation
A two-step model for image denoising using a duality strategy and surface fitting
Journal of Computational and Applied Mathematics
Multiplicative noise removal using variable splitting and constrained optimization
IEEE Transactions on Image Processing
Fast image recovery using variable splitting and constrained optimization
IEEE Transactions on Image Processing
Distributed sparse linear regression
IEEE Transactions on Signal Processing
Split Bregman method for large scale fused Lasso
Computational Statistics & Data Analysis
Improving density estimation by incorporating spatial information
EURASIP Journal on Advances in Signal Processing - Special issue on advanced image processing for defense and security applications
Restoration of images based on subspace optimization accelerating augmented Lagrangian approach
Journal of Computational and Applied Mathematics
A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration
Journal of Scientific Computing
Multidimensional Systems and Signal Processing
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I
Segmentation for hyperspectral images with priors
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
A Singular Value Thresholding Algorithm for Matrix Completion
SIAM Journal on Optimization
SIAM Journal on Scientific Computing
Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
Operator Splittings, Bregman Methods and Frame Shrinkage in Image Processing
International Journal of Computer Vision
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
Primal and Dual Bregman Methods with Application to Optical Nanoscopy
International Journal of Computer Vision
Performance evaluation on segmentation methods for medical images
ACAI '11 Proceedings of the International Conference on Advances in Computing and Artificial Intelligence
Super-Linear Convergence of Dual Augmented Lagrangian Algorithm for Sparsity Regularized Estimation
The Journal of Machine Learning Research
Surface reconstruction using power watershed
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Deconvolving Poissonian images by a novel hybrid variational model
Journal of Visual Communication and Image Representation
Wavelet frame based surface reconstruction from unorganized points
Journal of Computational Physics
Intermediate flow field filtering in energy based optic flow computations
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Robust active contour segmentation with an efficient global optimizer
ACIVS'11 Proceedings of the 13th international conference on Advanced concepts for intelligent vision systems
A Spatial Regularization Approach for Vector Quantization
Journal of Mathematical Imaging and Vision
Copula density estimation by total variation penalized likelihood with linear equality constraints
Computational Statistics & Data Analysis
A fully implicit framework for Sobolev active contours and surfaces
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Journal of Mathematical Imaging and Vision
A variational model for the restoration of MR images corrupted by blur and Rician noise
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
A fast implementation algorithm of TV inpainting model based on operator splitting method
Computers and Electrical Engineering
A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model
Applied Numerical Mathematics
SIAM Journal on Imaging Sciences
Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing
SIAM Journal on Scientific Computing
Large Scale Bayesian Inference and Experimental Design for Sparse Linear Models
SIAM Journal on Imaging Sciences
NESTA: A Fast and Accurate First-Order Method for Sparse Recovery
SIAM Journal on Imaging Sciences
A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
SIAM Journal on Imaging Sciences
A Total Variation Model for Retinex
SIAM Journal on Imaging Sciences
A Regularization Parameter for Nonsmooth Tikhonov Regularization
SIAM Journal on Scientific Computing
SIAM Journal on Imaging Sciences
Inexact Alternating Direction Methods for Image Recovery
SIAM Journal on Scientific Computing
Alternating Direction Method for Image Inpainting in Wavelet Domains
SIAM Journal on Imaging Sciences
Combinatorial Continuous Maximum Flow
SIAM Journal on Imaging Sciences
Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation
SIAM Journal on Imaging Sciences
On vector and matrix median computation
Journal of Computational and Applied Mathematics
Journal of Scientific Computing
Augmented Lagrangian Method for Generalized TV-Stokes Model
Journal of Scientific Computing
Domain decomposition methods with graph cuts algorithms for total variation minimization
Advances in Computational Mathematics
Total variation blind deconvolution employing split Bregman iteration
Journal of Visual Communication and Image Representation
Foundations and Trends® in Machine Learning
Computational Optimization and Applications
Sparse Occlusion Detection with Optical Flow
International Journal of Computer Vision
A Fast Fixed Point Algorithm for Total Variation Deblurring and Segmentation
Journal of Mathematical Imaging and Vision
Segmentation of images with separating layers by fuzzy c-means and convex optimization
Journal of Visual Communication and Image Representation
Denoising by second order statistics
Signal Processing
Journal of Mathematical Imaging and Vision
A Variational Approach for Sharpening High Dimensional Images
SIAM Journal on Imaging Sciences
Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging
SIAM Journal on Imaging Sciences
Structured sparsity via alternating direction methods
The Journal of Machine Learning Research
glm-ie: generalised linear models inference & estimation toolbox
The Journal of Machine Learning Research
A relaxed split bregman iteration for total variation regularized image denoising
ICIC'12 Proceedings of the 8th international conference on Intelligent Computing Theories and Applications
Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1
Journal of Visual Communication and Image Representation
Variational nonlocal image segmentation using split-Bregman
Proceedings of the 4th International Conference on Internet Multimedia Computing and Service
Image deconvolution using incomplete Fourier measurements
International Journal of Imaging Systems and Technology
Split Bregman iteration and infinity Laplacian for image decomposition
Journal of Computational and Applied Mathematics
Journal of Visual Communication and Image Representation
Nonconvex sparse regularizer based speckle noise removal
Pattern Recognition
Job scheduling using successive linear programming approximations of a sparse model
Euro-Par'12 Proceedings of the 18th international conference on Parallel Processing
Uzawa block relaxation methods for color image restoration
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
Sparse methods for biomedical data
ACM SIGKDD Explorations Newsletter
Runtime guarantees for regression problems
Proceedings of the 4th conference on Innovations in Theoretical Computer Science
X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting
Journal of Scientific Computing
Journal of Scientific Computing
An Efficient Algorithm for l0 Minimization in Wavelet Frame Based Image Restoration
Journal of Scientific Computing
Statistical Density Estimation Using Threshold Dynamics for Geometric Motion
Journal of Scientific Computing
Higher-Order TV Methods--Enhancement via Bregman Iteration
Journal of Scientific Computing
Bregmanized Domain Decomposition for Image Restoration
Journal of Scientific Computing
Linear convergence analysis of the use of gradient projection methods on total variation problems
Computational Optimization and Applications
Bregman operator splitting with variable stepsize for total variation image reconstruction
Computational Optimization and Applications
Computational Optimization and Applications
Variational and PCA based natural image segmentation
Pattern Recognition
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Variational structure-texture image decomposition on manifolds
Signal Processing
Advances in Computational Mathematics
An efficient ADMM algorithm for multidimensional anisotropic total variation regularization problems
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Nonlinear multigrid method for solving the anisotropic image denoising models
Numerical Algorithms
Journal of Scientific Computing
Coupling Image Restoration and Segmentation: A Generalized Linear Model/Bregman Perspective
International Journal of Computer Vision
High-quality computational imaging through simple lenses
ACM Transactions on Graphics (TOG)
Ultrasound kidney segmentation with a global prior shape
Journal of Visual Communication and Image Representation
A fixed-point augmented Lagrangian method for total variation minimization problems
Journal of Visual Communication and Image Representation
Computers in Biology and Medicine
Total variation regularization algorithms for images corrupted with different noise models: a review
Journal of Electrical and Computer Engineering
Image Restoration via Tight Frame Regularization and Local Constraints
Journal of Scientific Computing
On a System of Adaptive Coupled PDEs for Image Restoration
Journal of Mathematical Imaging and Vision
A Linear Systems Approach to Imaging Through Turbulence
Journal of Mathematical Imaging and Vision
Original Article: A new nonlocal total variation regularization algorithm for image denoising
Mathematics and Computers in Simulation
Framelet based pan-sharpening via a variational method
Neurocomputing
An effective dual method for multiplicative noise removal
Journal of Visual Communication and Image Representation
A coupled variational model for image denoising using a duality strategy and split Bregman
Multidimensional Systems and Signal Processing
Machine Vision and Applications
A Combined First and Second Order Variational Approach for Image Reconstruction
Journal of Mathematical Imaging and Vision
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
Journal of Mathematical Imaging and Vision
Homogeneous Penalizers and Constraints in Convex Image Restoration
Journal of Mathematical Imaging and Vision
A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Hi-index | 0.01 |
The class of L1-regularized optimization problems has received much attention recently because of the introduction of “compressed sensing,” which allows images and signals to be reconstructed from small amounts of data. Despite this recent attention, many L1-regularized problems still remain difficult to solve, or require techniques that are very problem-specific. In this paper, we show that Bregman iteration can be used to solve a wide variety of constrained optimization problems. Using this technique, we propose a “split Bregman” method, which can solve a very broad class of L1-regularized problems. We apply this technique to the Rudin-Osher-Fatemi functional for image denoising and to a compressed sensing problem that arises in magnetic resonance imaging.