3D reconstruction of a thin flexible disc in a vortical flow

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), provi...

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Bibliographic Details
Published in:Experiments in fluids 2023-11, Vol.64 (11), Article 172
Main Authors: Ibarra, Eric, Adrien, Bartoli, Gautier, Verhille
Format: Article
Language:English
Subjects:
Cost function
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Fluid- and Aerodynamics
Formability
Heat and Mass Transfer
Image reconstruction
Particle image velocimetry
Pinholes
Research Article
Spline functions
Thin plates
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Summary: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 toward studying the dynamics of more complex sheet-like objects, such as plastic pollutants and vegetation.
ISSN:0723-4864
1432-1114
DOI:10.1007/s00348-023-03713-9