Efficient alternating minimization methods for variational edge-weighted colorization models
From MaRDI portal
Publication:2000545
DOI10.1007/s10444-019-09702-zzbMath1409.94713OpenAlexW2944916379MaRDI QIDQ2000545
Wei Zhu, Maryam Yashtini, Sung Ha Kang
Publication date: 28 June 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-019-09702-z
Nonconvex programming, global optimization (90C26) Numerical methods based on necessary conditions (49M05) Programming in abstract spaces (90C48) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimality conditions for free problems in two or more independent variables (49K10)
Related Items
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging ⋮ Multi-block nonconvex nonsmooth proximal ADMM: convergence and rates under Kurdyka-Łojasiewicz property ⋮ Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization
Uses Software
Cites Work
- A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data
- Restoration of manifold-valued images by half-quadratic minimization
- A practical relative error criterion for augmented Lagrangians
- A three-operator splitting scheme and its optimization applications
- Exact reconstruction of damaged color images using a total variation model
- A relaxed constant positive linear dependence constraint qualification and applications
- Nonlinear projection recovery in digital inpainting for color image restoration
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- On the sublinear convergence rate of multi-block ADMM
- Maps of bounded variation with values into a manifold: total variation and relaxed energy
- Image and video colorization using vector-valued reproducing kernel Hilbert spaces
- On a weighted total variation minimization problem
- Diagonalized multiplier methods and quasi-Newton methods for constrained optimization
- Variational problems for maps of bounded variation with values in \(S^ 1\)
- A proximal-based deomposition method for compositions method for convex minimization problems
- Large sample theory of intrinsic and extrinsic sample means on manifolds. I
- Geometry and color in natural images
- A new inexact alternating directions method for monotone variational inequalities
- Priors with coupled first and second order differences for manifold-valued image processing
- An inexact alternating directions algorithm for constrained total variation regularized compressive sensing problems
- A note on the alternating direction method of multipliers
- Bregman operator splitting with variable stepsize for total variation image reconstruction
- Total cyclic variation and generalizations
- A combined first and second order variational approach for image reconstruction
- Geodesic regression and the theory of least squares on Riemannian manifolds
- Error analysis for image inpainting
- Variational image colorization models using higher-order Mumford-Shah regularizers
- Inexact alternating direction methods of multipliers for separable convex optimization
- Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization
- Augmented Lagrangian method for a mean curvature based image denoising model
- Conditional image diffusion
- An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI
- Multiplier and gradient methods
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- Minimizing a Quadratic Over a Sphere
- An $\mathcal O(1/{k})$ Convergence Rate for the Variable Stepsize Bregman Operator Splitting Algorithm
- Interpolatory Multiscale Representation for Functions between Manifolds
- Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming
- A Convergent $3$-Block Semi-Proximal ADMM for Convex Minimization Problems with One Strongly Convex Block
- A Fast Algorithm for Euler's Elastica Model Using Augmented Lagrangian Method
- A Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image Inpainting
- A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
- The Split Bregman Method for L1-Regularized Problems
- An Augmented Lagrangian Method for $\ell_{1}$-Regularized Optimization Problems with Orthogonality Constraints
- A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
- Variational Models for Image Colorization via Chromaticity and Brightness Decomposition
- A Fast $\ell$1-TV Algorithm for Image Restoration
- Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
- Numerical Optimization
- Color image enhancement via chromaticity diffusion
- Variational Exemplar-Based Image Colorization
- Numerical Methods forp-Harmonic Flows and Applications to Image Processing
- Total Variation Regularization for Manifold-Valued Data
- Second Order Differences of Cyclic Data and Applications in Variational Denoising
- Luminance-Chrominance Model for Image Colorization
- Proximal Linearized Alternating Direction Method for Multiplicative Denoising
- Some Facts About Operator-Splitting and Alternating Direction Methods
- Multiscale Representations for Manifold-Valued Data
- Convex Analysis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
