A new nonlocal nonlinear diffusion of image processing
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Publication:1022946
DOI10.1016/j.jde.2009.03.017zbMath1170.35450OpenAlexW1972397486MaRDI QIDQ1022946
Publication date: 10 June 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.017
fractional derivativeswell-posednessperiodic boundary conditionsPerona-Malik equationnoise reductionnontrivial equilibria
Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to PDEs (35B10)
Related Items (16)
A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution ⋮ PASSING TO THE LIMIT IN MAXIMAL SLOPE CURVES: FROM A REGULARIZED PERONA–MALIK EQUATION TO THE TOTAL VARIATION FLOW ⋮ A non-local diffusion equation for noise removal ⋮ Variational image registration by a total fractional-order variation model ⋮ Two enhanced fourth order diffusion models for image denoising ⋮ A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional ⋮ A denoising model based on the fractional Beltrami regularization and its numerical solution ⋮ Monotonicity Properties of Limits of Solutions to the Semidiscrete Scheme for a Class of Perona–Malik Type Equations ⋮ Simultaneous denoising and enhancement of signals by a fractal conservation law ⋮ Well-posedness for a class of fourth order diffusions for image processing ⋮ A backward-forward regularization of the Perona-Malik equation ⋮ On a system of adaptive coupled PDEs for image restoration ⋮ Nonlinear fractional diffusion model for deblurring images with textures ⋮ Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration ⋮ Well-posedness of a nonlocal nonlinear diffusion equation of image processing ⋮ An Example of Global Classical Solution for the Perona-Malik Equation
Cites Work
- Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional
- Gradient estimates for the Perona-Malik equation
- A free boundary characterization of measure-valued solutions for forward-backward diffusion
- A new well-posed nonlinear nonlocal diffusion
- Dynamics of measured valued solutions to a backward-forward heat equation
- Bounded \(H_ \infty\)-calculus for elliptic operators
- Maximum and comparison principle for one-dimensional anisotropic diffusion
- Young measure solutions and instability of the one-dimensional Perona-Malik equation
- Some remarks about Perona-Malik equation
- Existence of infinitely many solutions for the one-dimensional Perona-Malik model
- Quasilinear parabolic problems via maximal regularity
- CONVERGENCE FOR LONG-TIMES OF A SEMIDISCRETE PERONA–MALIK EQUATION IN ONE DIMENSION
- The $\Gamma $-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type
- A class of local classical solutions for the one-dimensional Perona-Malik equation
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- The Perona--Malik Paradox
- Maximal Regularity for Nonautonomous Evolution Equations
- An analysis of the Perona-Malik scheme
- The Nemitskii Operator in Hölder Spaces: Some Necessary and Sufficient Conditions
- Young Measure Solutions for a Nonlinear Parabolic Equation of Forward-Backward Type
- Entire Solutions of the One-Dimensional Perona-Malik Equation
- Time-delay regularization of anisotropic diffusion and image processing
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