Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking
The equilibrium gap principle offers a good trade-off between robustness and accuracy for regularizing motion tracking, as it simply enforces that the tracked motion corresponds to a body deforming under arbitrary loadings. This paper introduces an extension of the equilibrium gap principle in the l...
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.228/ |
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| author | Genet, Martin |
| author_facet | Genet, Martin |
| author_sort | Genet, Martin |
| collection | DOAJ |
| description | The equilibrium gap principle offers a good trade-off between robustness and accuracy for regularizing motion tracking, as it simply enforces that the tracked motion corresponds to a body deforming under arbitrary loadings. This paper introduces an extension of the equilibrium gap principle in the large deformation setting, a novel regularization term to control surface tractions, both in the context of finite element motion tracking, and an inverse problem consistent reformulation of the tracking problem. Tracking performance of the proposed method, with displacement resolution down to the pixel size, is demonstrated on synthetic images representing various motions with various signal-to-noise ratios. |
| format | Article |
| id | doaj-art-b299f02f674b4294996b5edc61a05b6c |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-b299f02f674b4294996b5edc61a05b6c2025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-12-01351G242945810.5802/crmeca.22810.5802/crmeca.228Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion trackingGenet, Martin0https://orcid.org/0000-0003-2204-201XLaboratoire de Mécanique des Solides, École Polytechnique/IPP/CNRS, Palaiseau, France; Équipe MΞDISIM, INRIA, Palaiseau, FranceThe equilibrium gap principle offers a good trade-off between robustness and accuracy for regularizing motion tracking, as it simply enforces that the tracked motion corresponds to a body deforming under arbitrary loadings. This paper introduces an extension of the equilibrium gap principle in the large deformation setting, a novel regularization term to control surface tractions, both in the context of finite element motion tracking, and an inverse problem consistent reformulation of the tracking problem. Tracking performance of the proposed method, with displacement resolution down to the pixel size, is demonstrated on synthetic images representing various motions with various signal-to-noise ratios.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.228/Motion trackingMechanical regularizationEquilibrium gap principleFinite element methodInverse problems |
| spellingShingle | Genet, Martin Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking Comptes Rendus. Mécanique Motion tracking Mechanical regularization Equilibrium gap principle Finite element method Inverse problems |
| title | Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking |
| title_full | Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking |
| title_fullStr | Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking |
| title_full_unstemmed | Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking |
| title_short | Finite strain formulation of the discrete equilibrium gap principle: application to mechanically consistent regularization for large motion tracking |
| title_sort | finite strain formulation of the discrete equilibrium gap principle application to mechanically consistent regularization for large motion tracking |
| topic | Motion tracking Mechanical regularization Equilibrium gap principle Finite element method Inverse problems |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.228/ |
| work_keys_str_mv | AT genetmartin finitestrainformulationofthediscreteequilibriumgapprincipleapplicationtomechanicallyconsistentregularizationforlargemotiontracking |