Inverse problems with structural prior information
From MaRDI portal
Publication:4262629
DOI10.1088/0266-5611/15/3/306zbMath0949.65144OpenAlexW2027547498MaRDI QIDQ4262629
Marko Vauhkonen, Erkki Somersalo, Ville Kolehmainen, Jari P. Kaipio
Publication date: 26 November 2000
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/15/3/306
Fredholm integral equations (45B05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)
Related Items
Automated filtering in the nonlinear Fourier domain of systematic artifacts in 2D electrical impedance tomography ⋮ A D-Bar Algorithm with A Priori Information for 2-Dimensional Electrical Impedance Tomography ⋮ Multicontrast MRI Reconstruction with Structure-Guided Total Variation ⋮ The Bayesian formulation of EIT: analysis and algorithms ⋮ Bayesian statistical inference using a regression in electrical impedance tomography ⋮ A function space framework for structural total variation regularization with applications in inverse problems ⋮ Dynamic MRI reconstruction from undersampled data with an anatomical prescan ⋮ Use of an optimized spatial prior in D-bar reconstructions of EIT tank data ⋮ Bayesian inverse problems with heterogeneous variance ⋮ Employing temporal self-similarity across the entire time domain in computed tomography reconstruction ⋮ Sparsity reconstruction in electrical impedance tomography: an experimental evaluation ⋮ On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case ⋮ Isotropic and anisotropic total variation regularization in electrical impedance tomography ⋮ Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging ⋮ Adaptive meshing approach to identification of cracks with electrical impedance tomography ⋮ Existence, uniqueness and stability of minimizers of generalized Tikhonov-Phillips functionals ⋮ Fixed-lag smoothing and state estimation in dynamic electrical impedance tomography ⋮ Less is often more: applied inverse problems using \(hp\)-forward models ⋮ Solving electrical impedance tomography with deep learning ⋮ A second order Calderón’s method with a correction term and a priori information ⋮ Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography ⋮ Incorporating structural prior information and sparsity into EIT using parallel level sets ⋮ Past and future of inverse problems ⋮ A direct D-bar method for partial boundary data electrical impedance tomography with a priori information ⋮ Estimation of conductivity changes in a region of interest with electrical impedance tomography ⋮ Optical Imaging ⋮ Optimal actuator placement for controlling concentration profiles via process tomography ⋮ Complementary use of priors for pulmonary imaging with electrical impedance and ultrasound computed tomography ⋮ Randomize-Then-Optimize for Sampling and Uncertainty Quantification in Electrical Impedance Tomography ⋮ Bayesian Probabilistic Numerical Methods in Time-Dependent State Estimation for Industrial Hydrocyclone Equipment ⋮ Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems ⋮ An analysis of regularization by diffusion for ill-posed Poisson likelihood estimations ⋮ Modern regularization methods for inverse problems ⋮ Dynamic optimized priors for D-bar reconstructions of human ventilation using electrical impedance tomography ⋮ Generalized Modes in Bayesian Inverse Problems ⋮ Geophysical imaging of subsurface structures with least squares estimates ⋮ Using process tomography as a sensor for optimal control
