Efficient generalized Golub–Kahan based methods for dynamic inverse problems
We consider efficient methods for computing solutions to and estimating uncertainties in
dynamic inverse problems, where the parameters of interest may change during the …
dynamic inverse problems, where the parameters of interest may change during the …
Inverse problems with inexact forward operator: iterative regularization and application in dynamic imaging
The classic regularization theory for solving inverse problems is built on the assumption that
the forward operator perfectly represents the underlying physical model of the data …
the forward operator perfectly represents the underlying physical model of the data …
All-at-once versus reduced iterative methods for time dependent inverse problems
B Kaltenbacher - Inverse Problems, 2017 - iopscience.iop.org
In this paper we investigate all-at-once versus reduced regularization of dynamic inverse
problems on finite time intervals (0, T). In doing so, we concentrate on iterative methods and …
problems on finite time intervals (0, T). In doing so, we concentrate on iterative methods and …
Four dimensional material movies: High speed phase-contrast tomography by backprojection along dynamically curved paths
We present an approach towards four dimensional (4d) movies of materials, showing
dynamic processes within the entire 3d structure. The method is based on tomographic …
dynamic processes within the entire 3d structure. The method is based on tomographic …
Dynamic image reconstruction with motion priors in application to 3D magnetic particle imaging
Various imaging modalities allow for time-dependent image reconstructions from
measurements where its acquisition also has a time-dependent nature. Magnetic particle …
measurements where its acquisition also has a time-dependent nature. Magnetic particle …
Efficient Krylov subspace methods for uncertainty quantification in large Bayesian linear inverse problems
AK Saibaba, J Chung, K Petroske - Numerical Linear Algebra …, 2020 - Wiley Online Library
Uncertainty quantification for linear inverse problems remains a challenging task, especially
for problems with a very large number of unknown parameters (eg, dynamic inverse …
for problems with a very large number of unknown parameters (eg, dynamic inverse …
Motion estimation and correction in photoacoustic tomographic reconstruction
Motion, eg, due to patient movement or improper device calibration, is inevitable in many
imaging modalities such as photoacoustic tomography (PAT) by a rotating system and can …
imaging modalities such as photoacoustic tomography (PAT) by a rotating system and can …
Hybrid projection methods for solution decomposition in large-scale bayesian inverse problems
We develop hybrid projection methods for computing solutions to large-scale inverse
problems, where the solution represents a sum of different stochastic components. Such …
problems, where the solution represents a sum of different stochastic components. Such …
Undersampled dynamic X-ray tomography with dimension reduction Kalman filter
In this paper, we propose a prior-based dimension reduction Kalman filter for undersampled
dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized …
dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized …
Dynamic image reconstruction with motion priors in application to three dimensional magnetic particle imaging
Various imaging modalities allow for time-dependent image reconstructions from
measurements where its acquisition also has a time-dependent nature. Magnetic particle …
measurements where its acquisition also has a time-dependent nature. Magnetic particle …