Synergistic multi-spectral CT reconstruction with directional total variation

Evelyn Cueva; Alexander Meaney; Samuli Siltanen; Matthias J Ehrhardt

doi:10.1098/rsta.2020.0198

Synergistic multi-spectral CT reconstruction with directional total variation

Evelyn Cueva, Alexander Meaney, Samuli Siltanen, Matthias J Ehrhardt

Institute for Mathematical Innovation (IMI)

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11 Citations (SciVal)

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Abstract

This work considers synergistic multi-spectral CT reconstruction where information from all available energy channels is combined to improve the reconstruction of each individual channel. We propose to fuse these available data (represented by a single sinogram) to obtain a polyenergetic image which keeps structural information shared by the energy channels with increased signal-to-noise ratio. This new image is used as prior information during a channel-by-channel minimization process through the directional total variation. We analyse the use of directional total variation within variational regularization and iterative regularization. Our numerical results on simulated and experimental data show improvements in terms of image quality and in computational speed. This article is part of the theme issue 'Synergistic tomographic image reconstruction: part 2'.

Original language	English
Article number	20200198
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	379
Issue number	2204
Early online date	5 Jul 2021
DOIs	https://doi.org/10.1098/rsta.2020.0198
Publication status	Published - 23 Aug 2021

Funding

Data accessibility. The data and code are available on http://doi.org/10.5281/zenodo.4765104. Authors’ contributions. E.C. carried out the numerical computations and drafted the manuscript. M.J.E. designed the project, advised E.C. and supported writing the manuscript. S.S. and A.M. acquired and processed real and synthetic data. All authors read and approved the manuscript. Competing interests. We declare we have no competing interests. Funding. M.J.E. acknowledges support from the EPSRC (EP/S026045/1, EP/T026693/1), the Faraday Institution (EP/T007745/1) and the Leverhulme Trust (ECF-2019-478). E.C. acknowledges support from the CMM ANID PIA AFB170001 and Beca Doctorado Nacional Conicyt.

Funders	Funder number
CMM ANID	PIA AFB170001
The Faraday Institution	EP/T007745/1
Engineering and Physical Sciences Research Council	EP/S026045/1, EP/T026693/1
The Leverhulme Trust	ECF-2019-478

Keywords

directional total variation
high-resolution reconstruction
linearized Bregman iteration
multi-energy CT
undersampled data

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rsta.2020.0198

2101.01834v1.PDFSubmitted manuscript, 6.76 MB

https://arxiv.org/abs/2101.01834

Cite this

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Synergistic multi-spectral CT reconstruction with directional total variation

Abstract

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Keywords

ASJC Scopus subject areas

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