A \(TV-L^2-H^{-1}\) PDE model for effective denoising
From MaRDI portal
Publication:2212329
DOI10.1016/j.camwa.2020.09.009zbMath1452.35072OpenAlexW3089999534MaRDI QIDQ2212329
Publication date: 20 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.09.009
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)
Related Items
Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models ⋮ Efficient image denoising technique using the meshless method: investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs ⋮ On a mathematical analysis of a coupled system adapted to MRI image denoising ⋮ An improved coupled PDE system applied to the inverse image denoising problem ⋮ An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models ⋮ Well-posedness and simulation results of a coupled denoising PDE
Uses Software
Cites Work
- Nonlinear total variation based noise removal algorithms
- An anisotropic fourth-order diffusion filter for image noise removal
- Unconditionally stable schemes for higher order inpainting
- Image textures and Gibbs random fields
- Fourth-order partial differential equations for noise removal
- Adaptive wavelet thresholding for image denoising and compression
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- High-Order Total Variation-Based Image Restoration
- De-noising by soft-thresholding
- Patch-Based Near-Optimal Image Denoising
- A Review of Image Denoising Algorithms, with a New One
