Some remarks on the staircasing phenomenon in total variation-based image denoising
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Publication:279117
DOI10.1007/s10851-015-0600-1zbMath1338.94008arXiv1402.0091OpenAlexW2189772261MaRDI QIDQ279117
Publication date: 27 April 2016
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.0091
Computing methodologies for image processing (68U10) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items (11)
Analytical aspects of spatially adapted total variation regularisation ⋮ Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography ⋮ Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization ⋮ Invariant $\varphi$-Minimal Sets and Total Variation Denoising on Graphs ⋮ On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ Boundedness and unboundedness in total variation regularization ⋮ Geometric properties of solutions to the total variation denoising problem ⋮ Continuity results for TV-minimizers ⋮ Modern regularization methods for inverse problems ⋮ Analysis of optimal control problems of semilinear elliptic equations by BV-functions ⋮ Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal
Cites Work
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- Nonlinear total variation based noise removal algorithms
- Regularity for solutions of the total variation denoising problem
- On the gradient flow of a one-homogeneous functional
- Total variation flow and sign fast diffusion in one dimension
- Pairings between measures and bounded functions and compensated compactness
- Image recovery via total variation minimization and related problems
- Parabolic quasilinear equations minimizing linear growth functionals
- An algorithm for total variation minimization and applications
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem
- On the jump set of solutions of the total variation flow
- Error Bounds for Finite-Difference Methods for Rudin–Osher–Fatemi Image Smoothing
- Total Variation Regularization for Image Denoising, II. Examples
- Total Variation Regularization for Image Denoising, III. Examples.
- The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
- Enhancement of Blurred and Noisy Images Based on an Original Variant of the Total Variation
- Weakly Differentiable Functions
- Local Strong Homogeneity of a Regularized Estimator
- Structural Properties of Solutions to Total Variation Regularization Problems
- Planelike minimizers in periodic media
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Distributions for which div v = F has a continuous solution
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