The University of Southampton
University of Southampton Institutional Repository

Non-convexly constrained image reconstruction from nonlinear tomographic X-ray measurements

Record type: Article

The use of polychromatic X-ray sources in tomographic X-ray measurements leads to nonlinear X-ray transmission effects. As these nonlinearities are not normally taken into account in tomographic reconstruction, artefacts occur, which can be particularly severe when imaging objects with multiple materials of widely varying X-ray attenuation properties. In these settings, reconstruction algorithms based on a nonlinear X-ray transmission model become valuable. We here study the use of one such model and develop algorithms that impose additional non-convex constraints on the reconstruction. This allows us to reconstruct volumetric data even when limited measurements are available. We propose a nonlinear conjugate gradient iterative hard thresholding algorithm and show how many prior modelling assumptions can be imposed using a range of non-convex constraints.

PDF Blumensath_JRSA_03_15_r1.pdf - Author's Original
Download (1MB)


Blumensath, Thomas and Boardman, Richard P. (2015) Non-convexly constrained image reconstruction from nonlinear tomographic X-ray measurements Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences, 373, (2043) (doi:10.1098/rsta.2014.0393).

More information

e-pub ahead of print date: 4 May 2015
Published date: June 2015
Keywords: compressed sensing, inverse problems, nonlinearconstrainedoptimization, tomography
Organisations: Signal Processing & Control Grp


Local EPrints ID: 376784
ISSN: 1364-503X
PURE UUID: 9e8fbde2-6641-4691-8d09-6359c57b1033

Catalogue record

Date deposited: 12 May 2015 11:00
Last modified: 17 Jul 2017 21:06

Export record


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.