A fourth-order partial differential equation denoising model with an adaptive relaxation method

DOI10.1080/00207160.2014.904854zbMath1317.65138OpenAlexW2126166265WikidataQ115314992 ScholiaQ115314992MaRDI QIDQ5259061

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Publication date: 24 June 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://gala.gre.ac.uk/id/eprint/14672/1/14672_Lai_A_fourth_order_PDE_denoising_model_%28AAM%29_2015.pdf

zbMATH Keywords

relaxation methodimage denoisingfourth-order PDE

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Numerical methods based on nonlinear programming (49M37) Discrete approximations in optimal control (49M25)

Related Items (5)

Entropy solutions for an adaptive fourth-order nonlinear degenerate problem for noise removal ⋮ A new anisotropic fourth-order diffusion equation model based on image features for image denoising ⋮ On the development of a coupled nonlinear telegraph-diffusion model for image restoration ⋮ Unnamed Item ⋮ An image denoising model based on a fourth-order nonlinear partial differential equation

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• An anisotropic fourth-order diffusion filter for image noise removal
• A backward-forward regularization of the Perona-Malik equation
• The structure of images
• Two enhanced fourth order diffusion models for image denoising
• Fourth-order partial differential equations for image enhancement
• Iterative image restoration combining total variation minimization and a second-order functional
• Fourth-order partial differential equations for noise removal
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• High-Order Total Variation-Based Image Restoration
• On a Modified Diffusion Model for Noise Removal

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