Synergistic multi-spectral CT reconstruction with directional total variation

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

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)
14 Downloads (Pure)


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 languageEnglish
Article number20200198
JournalPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Issue number2204
Early online date5 Jul 2021
Publication statusPublished - 23 Aug 2021


  • math.OC
  • cs.NA
  • eess.IV
  • math.NA
  • 65K10 (Primarly) 94A08, 68U10 (Secondary)


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