A variational reconstruction method for undersampled dynamic x-ray tomography based on physical motion models

M Burger, H Dirks, L Frerking, A Hauptmann… - Inverse …, 2017 - iopscience.iop.org
In this paper we study the reconstruction of moving object densities from undersampled
dynamic x-ray tomography in two dimensions. A particular motivation of this study is to use …

Enhancing compressed sensing 4D photoacoustic tomography by simultaneous motion estimation

F Lucka, N Huynh, M Betcke, E Zhang, P Beard… - SIAM Journal on Imaging …, 2018 - SIAM
A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices
that employ sequential scanning is their long acquisition time. In previous work, we …

Analyzing reconstruction artifacts from arbitrary incomplete X-ray CT data

L Borg, J Frikel, JS Jørgensen, ET Quinto - SIAM journal on imaging sciences, 2018 - SIAM
This article provides a mathematical analysis of singular (nonsmooth) artifacts added to
reconstructions by filtered backprojection (FBP) type algorithms for X-ray computed …

3D Compton scattering imaging and contour reconstruction for a class of Radon transforms

G Rigaud, BN Hahn - Inverse Problems, 2018 - iopscience.iop.org
Compton scattering imaging is a nascent concept arising from the current development of
high-sensitive energy detectors and is devoted to exploit the scattering radiation to image …

Motion estimation and correction in photoacoustic tomographic reconstruction

J Chung, L Nguyen - SIAM Journal on Imaging Sciences, 2017 - SIAM
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 …

Sparse dynamic tomography: a shearlet-based approach for iodine perfusion in plant stems

TA Bubba, T Heikkilä, S Huotari, Y Salmon… - Inverse …, 2020 - iopscience.iop.org
In this paper we propose a motion-aware variational approach to reconstruct moving objects
from sparse dynamic data. The motivation of this work stems from x-ray imaging of plants …

Motion estimation and compensation strategies in dynamic computerized tomography

BN Hahn - Sensing and Imaging, 2017 - Springer
A main challenge in computerized tomography consists in imaging moving objects.
Temporal changes during the measuring process lead to inconsistent data sets, and …

A local approach to resolution analysis of image reconstruction in tomography

A Katsevich - SIAM Journal on Applied Mathematics, 2017 - SIAM
We propose a novel approach to analyzing resolution of tomographic reconstruction. Instead
of following a conventional approach to obtain a global accuracy estimate, we investigate …

Null space and resolution in dynamic computerized tomography

BN Hahn - Inverse Problems, 2016 - iopscience.iop.org
One major challenge in computerized tomography is to image objects which change during
the data acquisition and hence lead to inconsistent data sets. Motion artefacts in the …

Efficient representation of spatio-temporal data using cylindrical shearlets

TA Bubba, G Easley, T Heikkilä, D Labate… - Journal of Computational …, 2023 - Elsevier
Efficient representations of multivariate functions are critical for the design of state-of-the-art
methods of data restoration and image reconstruction. In this work, we consider the …