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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.

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Citation

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

Identifiers

Local EPrints ID: 376784
URI: http://eprints.soton.ac.uk/id/eprint/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

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