Non-invasive regularization of 3D shape measurement using splines

Morgane Chapelier (1, 2) , Robin Bouclier (1, 2) , Jean-Charles Passieux (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 ICA - Institut Clément Ader

Finite Element Stereo Digital Image Correlation allows measuring 3D displacement fields on 3D surfaces, using the FE discretization space. Shape measurement is necessary prior to any experimentation, yet an analysis-suitable FE mesh leads to an ill-posed problem. To circumvent this issue, we propose to project the FE space onto a smoother space and choose spline functions. We use an explicit link between both spaces to develop a non-invasive method. We show that projection on a spline functions space increases regularity and that spline properties offer other interesting possibilities like a multilevel approach.

Mots clés: Stereo-Correlation; Multilevel Design; Free-Form Deformation

Domaines: Sciences de l'ingénieur [physics]; Mécanique des solides [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Modélisation et simulation

Morgane Chapelier, Robin Bouclier, Jean-Charles Passieux. Non-invasive regularization of 3D shape measurement using splines. International Digital Image Correlation Society Virtual Conference 2020, Oct 2020, Virtual Conference, France. ⟨hal-03003224⟩