Efficient image denoising technique using the meshless method: investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs

DOI10.1016/j.camwa.2022.03.013zbMath1504.65225OpenAlexW4220802866WikidataQ114201483 ScholiaQ114201483MaRDI QIDQ2122659

Kourosh Parand, Yasaman Lotfi

Publication date: 7 April 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.03.013

zbMATH Keywords

operator splittingmeshless methodsimage denoisingradial basis functions (RBFs)Modified/Perona-Malik (M/PM) equation

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical radial basis function approximation (65D12)

Related Items

On theoretical result of a controlled \(p(x)\)-reaction diffusion equation for Poisson noise reduction

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• An anisotropic fourth-order diffusion filter for image noise removal
• Radial basis functions methods for solving Fokker-Planck equation
• Radial basis functions method for solving of a non-local boundary value problem with Neumann's boundary conditions
• An image denoising approach based on a meshfree method and the domain decomposition technique
• A fast numerical method to price American options under the Bates model
• Fully fractional anisotropic diffusion for image denoising
• A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint)
• The structure of images
• Selective diffusion involving reaction for binarization of bleed-through document images
• A new rapid auto-adapting diffusion function for adaptive anisotropic image de-noising and sharply conserved edges
• On unsymmetric collocation by radial basis functions
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• Pricing European and American options with two stochastic factors: a highly efficient radial basis function approach
• Numerical simulation of reaction-diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
• An improved BM3D algorithm based on anisotropic diffusion equation
• A \(TV-L^2-H^{-1}\) PDE model for effective denoising
• Optimal control of a parabolic distributed parameter system via radial basis functions
• Sparse reconstruction of log-conductivity in current density impedance tomography
• Impact of low resolution on image recognition with deep neural networks: an experimental study
• An image denoising model based on a fourth-order nonlinear partial differential equation
• Finite element numerical approximation for two image denoising models
• Fourth-order partial differential equations for noise removal
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Improved Bilateral Texture Filtering With Edge-Aware Measurement
• The numerical study on the unsteady flow of gas in a semi-infinite porous medium using an RBF collocation method
• Noise-Driven Anisotropic Diffusion Filtering of MRI
• Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing