[图书][B] Computed tomography: algorithms, insight, and just enough theory

This book is primarily aimed at students, researchers, and practitioners who are interested in
the computational aspects of X-ray computed tomography (CT). It is also relevant for those …

Learning the invisible: A hybrid deep learning-shearlet framework for limited angle computed tomography

TA Bubba, G Kutyniok, M Lassas, M März… - Inverse …, 2019 - iopscience.iop.org
The high complexity of various inverse problems poses a significant challenge to model-
based reconstruction schemes, which in such situations often reach their limits. At the same …

Deep neural networks for inverse problems with pseudodifferential operators: An application to limited-angle tomography

TA Bubba, M Galinier, M Lassas, M Prato, L Ratti… - 2021 - SIAM
We propose a novel convolutional neural network (CNN), called Ψ DONet, designed for
learning pseudodifferential operators (Ψ DOs) in the context of linear inverse problems. Our …

Simulation-based deep artifact correction with convolutional neural networks for limited angle artifacts

AK Schnurr, K Chung, T Russ, LR Schad… - … für Medizinische Physik, 2019 - Elsevier
Non-conventional scan trajectories for interventional three-dimensional imaging promise
low-dose interventions and a better radiation protection to the personnel. Circular …

A new 3D model for magnetic particle imaging using realistic magnetic field topologies for algebraic reconstruction

G Bringout, W Erb, J Frikel - Inverse Problems, 2020 - iopscience.iop.org
We derive a new 3D model for magnetic particle imaging (MPI) that is able to incorporate
realistic magnetic fields in the reconstruction process. In real MPI scanners, the generated …

Обратная задача для волнового уравнения с полиномиальной нелинейностью

ВГ Романов, ТВ Бугуева - Сибирский журнал индустриальной …, 2023 - mathnet.ru
Для волнового уравнения, содержащего нелинейность в виде полинома $ n $-го
порядка, изучается задача об определении коэффициентов полинома, зависящих от …

Inverse problem for the wave equation with a polynomial nonlinearity

VG Romanov, TV Bugueva - Journal of Applied and Industrial Mathematics, 2023 - Springer
For the wave equation containing a nonlinearity in the form of an th order polynomial, we
study the problem of determining the coefficients of the polynomial depending on the …

PDE-based numerical method for a limited angle X-ray tomography

MV Klibanov, LH Nguyen - Inverse Problems, 2019 - iopscience.iop.org
A new numerical method for x-ray tomography for a specific case of incomplete Radon data
is proposed. Potential applications are in checking out bulky luggage in airports. This …

[图书][B] Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays, Cones, and Stars in Tomography

G Ambartsoumian - 2023 - World Scientific
Generalized Radon Transforms and Imaging by Scattered Particles: Radiative Transport
Equation Page 1 Chapter 1 Radiative Transport Equation The radiative transport (or transfer) …

A joint reconstruction and lambda tomography regularization technique for energy-resolved X-ray imaging

JW Webber, ET Quinto, EL Miller - Inverse Problems, 2020 - iopscience.iop.org
We present new joint reconstruction and regularization techniques inspired by ideas in
microlocal analysis and lambda tomography, for the simultaneous reconstruction of the …