A multi-scale image reconstruction algorithm for electrical capacitance tomography

DOI10.1016/j.apm.2010.11.009zbMath1219.78124OpenAlexW1970175149MaRDI QIDQ636497

Meng Sun, Xueyao Wang, Jing Lei, Shi Liu, Zhi-Hong Li

Publication date: 28 August 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.11.009

zbMATH Keywords

wavelet analysishomotopy methodTikhonov regularization methodtotal least squares estimationelectrical capacitance tomographymulti-scale image reconstruction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Biological applications of optics and electromagnetic theory (78A70) Inverse problems for PDEs (35R30) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Application of orthogonal and other special functions (94A11) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Software, source code, etc. for problems pertaining to information and communication theory (94-04)

Related Items (5)

A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation ⋮ Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation ⋮ A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations ⋮ Image reconstruction model for the exterior problem of computed tomography based on weighted directional total variation ⋮ A wavelet multi-scale method for the inverse problem of diffuse optical tomography

Uses Software

• NewtonLib

Cites Work

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• Overview of total least-squares methods
• Wavelets and their Applications
• Ten Lectures on Wavelets
• Analysis of bounded variation penalty methods for ill-posed problems
• Function minimization by conjugate gradients
• On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• Robust Statistics
• Smoothing method for minimax problems

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