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Non-invasive multilevel geometric regularization of mesh-based 3D shape measurement

Abstract : Finite element stereo digital image correlation (FE-SDIC) requires a crucial calibration phase in which the initial CAD needs to be updated to fit the actual shape of the specimen. On the one hand, the use of a FE mesh facilitates the coupling of measurements with simulation tools. On the other hand, it provides a unique, fine description of both the geometry and the displacement, which often makes the shape measurement problem highly ill-posed. As a remedy, we propose a hybrid isogeometric-FE strategy that can measure a shape in terms of spline functions while considering as an input and output the analysis-suitable FE mesh. Making use of the appealing spline refinement procedures and of Bézier-based operators, multilevel smooth spline dis-cretizations are built concurrently with the initial FE subspace and related to the multi-scale images used for the initialization of the shape measurement. It results in a geometrically sound regularization which provides a spline parametrization of the optimal shape along with its FE twin. A non-invasive implementation from an existing FE-SDIC code is also detailed. The performance of the proposed method is assessed on real images and comparisons are made with other published techniques to prove its efficiency.
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https://hal.archives-ouvertes.fr/hal-02431948
Contributor : Jean-Charles Passieux <>
Submitted on : Wednesday, January 8, 2020 - 11:37:25 AM
Last modification on : Wednesday, June 24, 2020 - 4:18:55 PM
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Guillaume Colantonio, Morgane Chapelier, Robin Bouclier, Jean-Charles Passieux, Eduard Marenić. Non-invasive multilevel geometric regularization of mesh-based 3D shape measurement. International Journal for Numerical Methods in Engineering, Wiley, 2020, 121 (9), pp.1877-1897. ⟨10.1002/nme.6291⟩. ⟨hal-02431948⟩

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