On the existence and uniqueness of weak solutions of a coupled diffusion system related to image restoration
DOI10.3934/ipi.2023027zbMath1529.35143OpenAlexW4379164798MaRDI QIDQ6087980
Subit K. Jain, Sudeb Majee, Rajendra K. Ray
Publication date: 13 December 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2023027
Computing methodologies for image processing (68U10) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- Nonlinear total variation based noise removal algorithms
- A class of nonlocal tensor telegraph-diffusion equations applied to coherence enhancement
- Adaptive fourth-order partial differential equation filter for image denoising
- On a reaction-diffusion system applied to image decomposition and restoration
- A hybrid convex variational model for image restoration
- Coupled anisotropic diffusion for image selective smoothing
- A class of nonlinear parabolic-hyperbolic equations applied to image restoration
- Axioms and fundamental equations of image processing
- Image recovery via total variation minimization and related problems
- Iterative solvers for image denoising with diffusion models: a comparative study
- On a system of adaptive coupled PDEs for image restoration
- An image denoising model based on a fourth-order nonlinear partial differential equation
- Serial and parallel approaches for image segmentation by numerical minimization of a second-order functional
- Fourth-order partial differential equations for noise removal
- Stability of Finite Difference Schemes for Complex Diffusion Processes
- Stability of finite difference schemes for nonlinear complex reaction–diffusion processes
- Total variation and level set methods in image science
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Damped second order flow applied to image denoising
- Time-delay regularization of anisotropic diffusion and image processing
- Numerical analysis of the TV regularization and H-1 fidelity model for decomposing an image into cartoon plus texture
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