Non-invasive regularization of 3D shape measurement using splines
Résumé
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.
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