Synergistic multi-spectral CT reconstruction with directional total variation

Author:

Cueva Evelyn1ORCID,Meaney Alexander2,Siltanen Samuli2,Ehrhardt Matthias J.3ORCID

Affiliation:

1. Research Center on Mathematical Modeling (MODEMAT), Escuela Politécnica Nacional, Quito, Ecuador

2. Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland

3. Institute for Mathematical Innovation, University of Bath, Bath, UK

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’.

Funder

Engineering and Physical Sciences Research Council

Fondo de Fomento al Desarrollo Científico y Tecnológico

Faraday Institution

Leverhulme Trust

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Diffusion Posterior Sampling for Synergistic Reconstruction in Spectral Computed Tomography;2024 IEEE International Symposium on Biomedical Imaging (ISBI);2024-05-27

2. Uconnect: Synergistic Spectral CT Reconstruction With U-Nets Connecting the Energy Bins;IEEE Transactions on Radiation and Plasma Medical Sciences;2024-02

3. Systematic Review on Learning-Based Spectral CT;IEEE Transactions on Radiation and Plasma Medical Sciences;2024-02

4. Spectral2Spectral: Image-Spectral Similarity Assisted Deep Spectral CT Reconstruction Without Reference;IEEE Transactions on Computational Imaging;2023

5. Analytical covariance estimation for iterative CT reconstruction methods;Biomedical Physics & Engineering Express;2022-03-11

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