A decomposition and noise removal method combining diffusion equation and wave atoms for textured images
type: Item
instance of: scholarly article
title: A decomposition and noise removal method combining diffusion equation and wave atoms for textured images
zbMATH Open document ID: 1189.94027
DOI: 10.1155/2010/764639
author: Wallace Correa de Oliveira Casaca
author: Maurílio Boaventura
published in: Mathematical Problems in Engineering
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/226571
review text: Summary: We propose a new method that is aimed at denoising images having textures. The method combines a balanced nonlinear partial differential equation driven by optimal parameters, mathematical morphology operators, weighting techniques, and some recent works in harmonic analysis. Furthermore, the new scheme decomposes the observed image into three components that are well defined as structure/cartoon, texture, and noise-background. Experimental results are provided to show the improved performance of our method for the texture-preserving denoising problem.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 5728515
Wikidata QID: Q58653329
MaRDI profile type: Publication
OpenAlex ID: W2077424917
cites work: Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
cites work: Nonlinear inverse scale space methods
cites work: Variational, Geometric, and Level Set Methods in Computer Vision
cites work: The digital TV filter and nonlinear denoising
cites work: Nonlinear total variation based noise removal algorithms
cites work: Image decompositions using bounded variation and generalized homogeneous Besov spaces
cites work: Modeling textures with total variation minimization and oscillating patterns in image processing
cites work: Dual norms and image decomposition models
cites work: The curvelet transform for image denoising
cites work: Wave atoms and sparsity of oscillatory patterns
cites work: Edge detection and noise removal by use of a partial differential equation with automatic selection of parameters
cites work: Q4804958
cites work: Wavelet packets with uniform time-frequency localization
cites work: Fast Discrete Curvelet Transforms
cites work: New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
Recommended article: Multiplicative Noise Removal for Texture Images Based on Adaptive Anisotropic Fractional Diffusion Equations
Recommended article: Q4483676
Recommended article: Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving
Recommended article: Multiplicative noise removal based on the smooth diffusion equation
Recommended article: A non-local diffusion equation for noise removal
Recommended article: Denoising method based on wavelet coefficients via diffusion equation
Recommended article: Textured Image Demoiréing via Signal Decomposition and Guided Filtering
Recommended article: A fractional partial differential equation based multiscale denoising model for texture image
Recommended article: Q4575002
description: scientific article; zbMATH DE number 5728515