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’.

这项工作考虑了协同多光谱 CT 重建，其中组合来自所有可用能量通道的信息以改进每个单独通道的重建。我们建议融合这些可用数据（由单个正弦图表示）以获得多能图像，该图像保持能量通道共享的结构信息，并具有更高的信噪比。这个新图像在通过方向总变化的逐通道最小化过程中用作先验信息。我们分析了在变分正则化和迭代正则化中使用定向总变差。我们对模拟和实验数据的数值结果显示了图像质量和计算速度方面的改进。

本文是主题问题“协同断层扫描图像重建：第 2 部分”的一部分。