Regularized Newton methods for x-ray phase contrast and general imaging problems

S Maretzke, M Bartels, M Krenkel, T Salditt… - Optics express, 2016 - opg.optica.org
Like many other advanced imaging methods, x-ray phase contrast imaging and tomography
require mathematical inversion of the observed data to obtain real-space information. While …

Regularized Newton methods for simultaneous Radon inversion and phase retrieval in phase contrast tomography

S Maretzke - arXiv preprint arXiv:1502.05073, 2015 - arxiv.org
Promoted by the advent of coherent synchrotron light sources, phase contrast tomography
allows to resolve three-dimensional variations of an unknown sample's complex refractive …

Phase retrieval in in-line x-ray phase contrast imaging based on total variation minimization

A Kostenko, KJ Batenburg, H Suhonen, SE Offerman… - Optics express, 2013 - opg.optica.org
State-of-the-art techniques for phase retrieval in propagation based X-ray phase-contrast
imaging are aiming to solve an underdetermined linear system of equations. They …

Total variation minimization approach in in-line x-ray phase-contrast tomography

A Kostenko, KJ Batenburg, A King, SE Offerman… - Optics express, 2013 - opg.optica.org
The reconstruction problem in in-line X-ray Phase-Contrast Tomography is usually
approached by solving two independent linearized sub-problems: phase retrieval and …

Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging

S Maretzke, T Hohage - SIAM Journal on Applied Mathematics, 2017 - SIAM
Propagation-based X-ray phase contrast enables nanoscale imaging of biological tissue by
probing not only the attenuation but also the real part of the refractive index of the sample …

Phase retrieval for near-field X-ray imaging beyond linearisation or compact support

J Hagemann, M Töpperwien, T Salditt - Applied Physics Letters, 2018 - pubs.aip.org
X-ray phase contrast imaging based on free space propagation relies on phase retrieval to
obtain sharp images of micro-and nanoscale objects, with widespread applications in …

Boosting spatial resolution by incorporating periodic boundary conditions into single-distance hard-x-ray phase retrieval

DM Paganin, V Favre-Nicolin, A Mirone, A Rack… - Journal of …, 2020 - iopscience.iop.org
A simple coherent-imaging method due to Paganin et al is widely employed for phase–
amplitude reconstruction of samples using a single paraxial x-ray propagation-based phase …

Phase retrieval in X-ray phase-contrast imaging suitable for tomography

A Burvall, U Lundström, PAC Takman, DH Larsson… - Optics express, 2011 - opg.optica.org
In-line phase-contrast X-ray imaging provides images where both absorption and refraction
contribute. For quantitative analysis of these images, the phase needs to be retrieved …

Fourier-wavelet regularization of phase retrieval in x-ray in-line phase tomography

M Langer, P Cloetens, F Peyrin - JOSA A, 2009 - opg.optica.org
Phase sensitive x-ray imaging extends standard x-ray microscopy techniques by offering up
to a thousand times higher sensitivity than absorption-based techniques. If an object is …

Constrained regularized reconstruction of X-ray-DPCI tomograms with weighted-norm

M Nilchian, C Vonesch, S Lefkimmiatis… - Optics express, 2013 - opg.optica.org
In this paper we introduce a new reconstruction algorithm for X-ray differential phase-
contrast Imaging (DPCI). Our approach is based on 1) a variational formulation with a …