Real-time Error Control for Surgical Simulation

Huu Phuoc Bui 1 Satyendra Tomar 1 Hadrien Courtecuisse 2, 3 Stéphane Cotin 3 Stéphane Bordas 4, 1
1 University of Luxembourg [Luxembourg]
2 ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
3 MIMESIS - Computational Anatomy and Simulation for Medicine
Inria Nancy - Grand Est
4 Cardiff School of Engineering [Cardiff]
Abstract : Objective: To present the first real-time a poste-riori error-driven adaptive finite element approach for real-time simulation and to demonstrate the method on a needle insertion problem. Methods: We use corotational elasticity and a frictional needle/tissue interaction model. The problem is solved using finite elements within SOFA 1. The refinement strategy relies upon a hexahedron-based finite element method, combined with a posteriori error estimation driven local h-refinement, for simulating soft tissue deformation. Results: We control the local and global error level in the mechanical fields (e.g. displacement or stresses) during the simulation. We show the convergence of the algorithm on academic examples, and demonstrate its practical usability on a percutaneous procedure involving needle insertion in a liver. For the latter case, we compare the force displacement curves obtained from the proposed adaptive algorithm with that obtained from a uniform refinement approach. Conclusions: Error control guarantees that a tolerable error level is not exceeded during the simulations. Local mesh refinement accelerates simulations. Significance: Our work provides a first step to discriminate between discretization error and modeling error by providing a robust quantification of discretization error during simulations. Index Terms—Finite element method, real-time error estimate, adaptive refinement, constraint-based interaction.
Keywords : constraint-based interaction adaptive refinement Finite element method real-time error estimate
Type de document :
Article dans une revue
IEEE Transactions on Biomedical Engineering, Institute of Electrical and Electronics Engineers, 2017, pp.12
Liste complète des métadonnées

Littérature citée [37 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01514621
Contributeur : Stéphane Cotin <>
Soumis le : mercredi 26 avril 2017 - 14:30:05
Dernière modification le : jeudi 29 mars 2018 - 09:10:04
Document(s) archivé(s) le : jeudi 27 juillet 2017 - 12:59:34

Fichier

TBME_2017_error_controlled_ref...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01514621, version 1

Collections

TDS-MACS | INRIA | SOFA | INRIA2017 | INC-CNRS | SITE-ALSACE

Citation

Huu Phuoc Bui, Satyendra Tomar, Hadrien Courtecuisse, Stéphane Cotin, Stéphane Bordas. Real-time Error Control for Surgical Simulation. IEEE Transactions on Biomedical Engineering, Institute of Electrical and Electronics Engineers, 2017, pp.12. 〈hal-01514621〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

479

Téléchargements de fichiers

231

Contact


archive-ouverte@inria.fr