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Construction of a fairly-priced, embedded domain based mechanical model for image registration

Abstract : With the development of Computed Micro-Tomography (μ-CT), it has become possible to inspect thephysical reality of materials with complex microstructures. One of the main applications of this non-invasive imaging tool in the experimental mechanics community is Digital Image Correlation (DIC),which is a well-known inverse problem also named image registration in, e.g., the computer vision andmedical fields. This method allows to measure strain fields by minimizing a distance of similarity be-tween different image configurations of materials. The DIC problem is ill-posed in Hadamard’s sense,namely, it cannot be solved pixel wise without considering some regularization. When images do notexhibit sufficient gray-level gradient values, which is the case of cellular materials for example, the situa-tion meets its most critical level. Our contribution concerns the development of a general DIC algorithmwhich identifies complex deformations in cellular materials. For that, we constructed an automated andfairly-priced image based mechanical model that accurately describes the mechanical behavior of thecomplex microstructure and used it as a regularization of the inverse problem. This technique, inspiredfrom the work by R ́ethor ́e et al. [1], consists of penalizing the internal elastic forces of the geometryrepresented by the image. Provided a level-set description of the material’s boundary [3], we show thatthe Finite Cell Method [2] introduces an interesting computational context for Digital Image Correlation.In fact, when using higher order B-splines as an approximation basis, along with advanced quadratureschemes, it is possible to measure accurate strain fields that could not be obtained using traditional linearfinite element DIC algorithms
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Contributor : Ali Rouwane <>
Submitted on : Wednesday, February 3, 2021 - 10:45:07 AM
Last modification on : Friday, February 5, 2021 - 11:08:10 AM


  • HAL Id : hal-03115002, version 1


Ali Rouwane, Robin Bouclier, Jean-Charles Passieux, Jean-Noël Périé. Construction of a fairly-priced, embedded domain based mechanical model for image registration. 14th World Congress in Computational Mechanics and ECCOMAS Congress, Jan 2021, Paris, France. ⟨hal-03115002⟩



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