A wavelet frame constrained total generalized variation model for imaging conductivity distribution
DOI10.3934/IPI.2021074zbMath1494.78011OpenAlexW4206677772MaRDI QIDQ2158248
Lei Li, Feng Fu, Yanyan Shi, Xiaolong Kong, Meng Wang, Zhiwei Tian
Publication date: 26 July 2022
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2021074
electrical impedance tomographyimagingtotal generalized variationwavelet frameconductivity distribution
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Variational methods applied to problems in optics and electromagnetic theory (78M30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Uses Software
Cites Work
- \(L^1\) regularization method in electrical impedance tomography by using the \(L^1\)-curve (Pareto frontier curve)
- An efficient nonconvex regularization for wavelet frame and total variation based image restoration
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- An efficient algorithm for \(\ell_{0}\) minimization in wavelet frame based image restoration
- Estimation of conductivity changes in a region of interest with electrical impedance tomography
- Numerical implementation of the factorization method within the complete electrode model of electrical impedance tomography
- Maximally Localized Radial Profiles for Tight Steerable Wavelet Frames
- Monotonicity-based electrical impedance tomography for lung imaging
- $\ell _0$ Minimization for wavelet frame based image restoration
- State estimation and inverse problems in electrical impedance tomography: observability, convergence and regularization
- Image restoration: Total variation, wavelet frames, and beyond
This page was built for publication: A wavelet frame constrained total generalized variation model for imaging conductivity distribution
