Electrical and elasticity imaging are promising modalities for a suite of different applications, including medical tomography, non-destructive testing and structural health monitoring. These emerging modalities are capable of providing remote, non-invasive and low-cost opportunities. Unfortunately, both modalities are severely ill-posed nonlinear inverse problems, susceptive to noise and modelling errors. Nevertheless, the ability to incorporate complimentary datasets obtained simultaneously offers mutually beneficial information. By fusing electrical and elastic modalities as a joint problem, we are afforded the possibility to stabilize the inversion process via the utilization of auxiliary information from both modalities as well as joint structural operators. In this study, we will discuss a possible approach to combine electrical and elasticity imaging in a joint reconstruction problem giving rise to novel multi-modality applications for use in both medical and structural engineering.

This article is part of the theme issue ‘Synergistic tomographic image reconstruction: part 1’.

电和弹性成像是一系列不同应用的有前途的方式，包括医学断层扫描、无损检测和结构健康监测。这些新兴模式能够提供远程、非侵入性和低成本的机会。不幸的是，这两种模态都是严重不适定的非线性逆问题，容易受到噪声和建模错误的影响。然而，合并同时获得的互补数据集的能力提供了互惠互利的信息。通过将电模态和弹性模态融合为一个联合问题，我们有可能通过利用来自两种模态和联合结构算子的辅助信息来稳定反演过程。在这项研究中，

本文是主题问题“协同断层扫描图像重建：第 1 部分”的一部分。