To improve our understanding of how deformable objects are transported in flows, it is necessary to develop new experimental tools capable of accurately measuring the evolution of their deformations. We present a reconstruction process for sheet-like objects utilizing Thin-Plate Splines (TPS), providing access to the object’s 3D position and deformation over time. We tested the technique on a simple configuration: a thin-heavy-flexible disc within a vortical flow driven by impellers in a cubic tank. The vortical flow field is characterized using Particle Image Velocimetry (PIV) and is seen to be well approximated as a Lamb- Oseen vortex within the volume of reconstruction. The disc is imaged using three cameras, which are calibrated using the pinhole model. The reconstruction process uses shape-from-silhouette to define an initial 3D reconstruction, which is subsequently refined by minimizing a cost function based on physical and visual criteria. This process is shown to be generalizable to other thin geometries, offering a starting point towards studying the dynamics of more complex sheet-like objects, such as plastic pollutants and vegetation.