Tomography based imaging is used in various disciplines with the most widely known as computed tomography (CT). In general, they have in common that a signal is measured on the specimen's surface and at multiple locations to reconstruct some type of a material property distribution using application specific constitutive equations. In this paper and for the first time with experimental validation, a novel tomography approach is successfully introduced based on the mechanics of solids. It utilizes the equations of equilibrium at its core embedded in an optimization framework to control the ill-posed nature of these problems. Measured signals are deformation fields obtained from a digital image correlation system with photo cameras. This work demonstrates the potential of mechanics based tomography (MBT) on a composite silicone material. This work encourages to investigate MBT as a breast tumor screening tool to visualize tumors based on their stiffness contrast. Another long-term goal could be to investigate the use of this methodology as a non-destructive testing tool for civil engineering structures such as bridges. Finally, this new methodology could potentially be miniaturized with stereoscopes and extended to map the material property distribution at the microstructure, e.g. grain length-scale.

基于断层扫描的成像技术被广泛用于各种领域，其中最著名的就是计算机断层扫描（CT）。通常，它们的共同点是在样品的表面和多个位置测量信号，以使用专用的本构方程重建某种类型的材料特性分布。在本文中，并且首次通过实验验证，基于固体力学成功地引入了一种新的层析成像方法。它利用嵌入优化框架中的核心均衡方程来控制这些问题的不适定性。测得的信号是从带有照相机的数字图像相关系统获得的变形场。这项工作证明了在复合有机硅材料上进行基于机械层析成像（MBT）的潜力。这项工作鼓励研究MBT作为一种乳腺肿瘤筛查工具，以根据肿瘤的刚度对比将肿瘤可视化。另一个长期目标是研究这种方法作为土木工程结构（例如桥梁）的无损检测工具的用途。最后，这种新方法可能会通过立体镜进行小型化，并扩展到在微观结构（例如晶粒长短尺度）上绘制材料特性分布图。