A collocation method solving integral equation models for image restoration

DOI10.1216/JIE-2016-28-2-263zbMath1347.65197WikidataQ113076789 ScholiaQ113076789MaRDI QIDQ739494

Yuesheng Xu, Yu-Zhen Liu, Hong-qi Yang, Li-Xin Shen

Publication date: 18 August 2016

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1467399277

zbMATH Keywords

inverse problemsimage restoration

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32)

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Cites Work

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• Reconstruction and decomposition algorithms for biorthogonal multiwavelets
• On the regularization of projection methods for solving ill-posed problems
• Using the matrix refinement equation for the construction of wavelets on invariant sets
• The Galerkin scheme for Lavrentiev's \(m\)-times iterated method to solve linear accretive Volterra integral equations of the first kind
• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• Wavelet Galerkin methods for second-kind integral equations
• Deconvolution and regularization with Toeplitz matrices
• Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind
• A fast collocation method for an inverse boundary value problem
• Multiscale collocation methods for ill-posed integral equations via a coupled system
• Fast collocation methods for solving ill-posed integral equations of the first kind
• Integral equation models for image restoration: high accuracy methods and fast algorithms
• Super-resolution in confocal scanning microscopy
• A construction of interpolating wavelets on invariant sets
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• On the method of Lavrentiev regularization for nonlinear ill-posed problems
• Fast Collocation Methods for Second Kind Integral Equations
• Multiscale Methods for Fredholm Integral Equations
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

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