Nonlocal adaptive image denoising model
type: Item
instance of: scholarly article
title: Nonlocal adaptive image denoising model
zbMATH Open document ID: 1299.94026
DOI: 10.1155/2013/605409
author: Xiaoli Sun
author: Min Li
author: Chen Xu
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: When denoising with the method of Weickert's anisotropic diffusion equation, the textures and details will be compromised. A fidelity term is added to Weickert's equation, and the coefficient of fidelity term will vary adaptively with the instant image, which makes the diffusion term and the fidelity term come to a better compromise. Otherwise, when deciding the edge directions, because of the strong smoothness of linear Gaussian function, a few other edge directions hiding in the main direction will be lost. To preserve these detailed edge directions, Gaussian kernel is substituted for nonlinear wavelet threshold. In addition, in order to preserve the textures and details as much as possible, a nonlocal diffusion tensor was introduced, and the two eigenvalues are reset by combining the two methods: edge-enhancing diffusion and coherence-enhancing diffusion. Experiments show that the new model has an obvious effect on preserving textures and details.
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6372822
Wikidata QID: Q59027230
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/605409
OpenAlex ID: W2081217438
cites work: The structure of images
cites work: Coherence-enhancing diffusion filtering.
cites work: Nonlocal Operators with Applications to Image Processing
cites work: De-noising by soft-thresholding
Recommended article: Image denoising via asymptotic nonlocal filtering
Recommended article: A nonlocal Bayesian image denoising algorithm
Recommended article: Two-Direction Nonlocal Model for Image Denoising
Recommended article: Q4983744
Recommended article: A new nonlocal \(H^1\) model for image denoising
Recommended article: Affine Non-Local Means Image Denoising
Recommended article: Image Denoising via Multiscale Nonlinear Diffusion Models
description: scientific article; zbMATH DE number 6372822