Total Variation in Imaging
From MaRDI portal
Publication:2789827
DOI10.1007/978-1-4939-0790-8_23zbMath1331.68264OpenAlexW2097335885MaRDI QIDQ2789827
Antonin Chambolle, Vincent Caselles, Matteo Novaga
Publication date: 2 March 2016
Published in: Handbook of Mathematical Methods in Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0790-8_23
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Variational methods for second-order elliptic equations (35J20)
Related Items (15)
A Maximum Principle Argument for the Uniform Convergence of Graph Laplacian Regressors ⋮ From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds ⋮ On the existence and stability of minimizers for generalized Tikhonov functionals with general similarity data ⋮ A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification ⋮ A computational framework for edge-preserving regularization in dynamic inverse problems ⋮ On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ A Nonlocal Graph-PDE and Higher-Order Geometric Integration for Image Labeling ⋮ A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing ⋮ Isotropic and anisotropic total variation regularization in electrical impedance tomography ⋮ Reconstruction Methods in THz Single-Pixel Imaging ⋮ On Decomposition Models in Imaging Sciences and Multi-time Hamilton--Jacobi Partial Differential Equations ⋮ Approximating the total variation with finite differences or finite elements ⋮ Unnamed Item ⋮ Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains ⋮ Generalized Intersection Algorithms with Fixed Points for Image Decomposition Learning
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Smooth minimization of non-smooth functions
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Regularity for solutions of the total variation denoising problem
- The total variation flow in \(\mathbb R^N\)
- On total variation minimization and surface evolution using parametric maximum flows
- Image recovery via total variation minimization and related problems
- Geodesic active contours
- Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- Conformal curvature flows: from phase transitions to active vision
- An algorithm for mean curvature motion
- A notion of total variation depending on a metric with discontinuous coefficients
- A first-order primal-dual algorithm for convex problems with applications to imaging
- On the convergence of primal-dual hybrid gradient algorithms for total variation image restoration
- Image restoration with discrete constrained total variation. I: Fast and exact optimization
- A TV based restoration model with local constraints
- Anisotropic curvature-driven flow of convex sets
- Are Natural Images of Bounded Variation?
- A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
- Parametric Maximum Flow Algorithms for Fast Total Variation Minimization
- Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
- The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
- Anisotropic Cheeger Sets and Applications
- Irregular to Regular Sampling, Denoising, and Deconvolution
- Minimum cuts and related problems
- Mathematical Techniques for Efficient Record Segmentation in Large Shared Databases
- Active contours without edges
- Local Strong Homogeneity of a Regularized Estimator
- A Fast Parametric Maximum Flow Algorithm and Applications
- A Convex Approach to Minimal Partitions
- Explicit Solutions of the Eigenvalue Problem $div \left(\frac Du\vert Du \vert \right)=u$ in $R^2$
- An efficient algorithm for image segmentation, Markov random fields and related problems
- Uniqueness of the Cheeger set of a convex body
- Uniqueness of the Cheeger set of a convex body
This page was built for publication: Total Variation in Imaging