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 …

Locality estimates for fresnel-wave-propagation and stability of x-ray phase contrast imaging with finite detectors

S Maretzke - Inverse Problems, 2018 - iopscience.iop.org
Coherent wave-propagation in the near-field Fresnel-regime is the underlying contrast-
mechanism to (propagation-based) x-ray phase contrast imaging (XPCI), an emerging …

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 …

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 …

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 …

Quantitative phase imaging with polychromatic x-ray sources

MB Luu, BD Arhatari, CQ Tran, E Balaur, BT Pham… - Optics express, 2011 - opg.optica.org
We introduce theoretically and demonstrate experimentally a contrast transfer function
based phase retrieval algorithm that reconstructs the projected thickness of an …

Image reconstruction in quantitative X-ray phase-contrast imaging employing multiple measurements

CY Chou, Y Huang, D Shi, MA Anastasio - Optics express, 2007 - opg.optica.org
X-ray phase-contrast imaging is a technique that aims to reconstruct the projected
absorption and refractive index distributions of an object. One common feature of …

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 …

Quantitative 3D refractive index decrement reconstruction using single-distance phase-contrast tomography data

RC Chen, L Rigon, R Longo - Journal of Physics D: Applied …, 2011 - iopscience.iop.org
X-ray propagation-based phase-contrast imaging is an attractive phase-sensitive imaging
technique that has found applications in many research fields. Here, we report the …

Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region

JP Guigay, M Langer, R Boistel, P Cloetens - Optics letters, 2007 - opg.optica.org
We present a method for phase retrieval in propagation-based x-ray imaging, based on the
contrast transfer and transport of intensity equation approaches. We show that the contrast …