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Non-invasive regularization of 3D shape measurement using splines

Abstract : 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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Contributor : Morgane Chapelier <>
Submitted on : Friday, November 13, 2020 - 10:12:11 AM
Last modification on : Thursday, November 26, 2020 - 3:05:25 AM
Long-term archiving on: : Sunday, February 14, 2021 - 6:26:06 PM


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  • HAL Id : hal-03003224, version 1


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⟩



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