Bézier Shell Finite Element for Interactive Surgical Simulation

Golembiovský, Tomáš; Duriez, Christian

Document type :

Communication dans un congrès avec actes

DOI :

10.2312/PE/vriphys/vriphys12/107-116

Title :

Bézier Shell Finite Element for Interactive Surgical Simulation

Author(s) :

Golembiovský, Tomáš [Auteur]
Faculty of Informatics [Brno] [FI / MUNI]
Simulation in Healthcare using Computer Research Advances [SHACRA]
Duriez, Christian [Auteur]

Simulation in Healthcare using Computer Research Advances [SHACRA]

Scientific editor(s) :

Jan Bender and Arjan Kuijper and Dieter W. Fellner and Eric Guerin

Conference title :

VRIPHYS 12: 9th Workshop on Virtual Reality Interactions and Physical Simulations

City :

Darmstadt

Country :

Allemagne

Start date of the conference :

2012-12-06

Publisher :

Eurographics Association

Publication date :

2012

HAL domain(s) :

Informatique [cs]/Modélisation et simulation

English abstract : [en]

There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of ...
Show more >There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of thin objects. However, this formulation asks for second order spatial derivatives so requires the use of complex elements. In this paper, we present a new way of building the interpolation: First, we use the trianular cubic Bézier shell to allow for a good continuity inside and between the elements and second, we build a kinematic mapping to reduce the degrees of freedom of the element from 10 control points with 3 Degrees of Freedom ($=30$ DOFs) to only 3 nodes with 6 DOFs ($=18$ DOFs). This reduction allows for good computation performance. This new shell model description is also used to map a smooth surface (for the collision detection and response) on a coarse mechanical mesh to account for the complex contacts that take place during surgical procedures. We demonstrate the convergence and the computational efficiency of our approach as well as its use in two different simulation cases: the planning of surgery for congenital heart disease correction and a preliminary simulation of childbirth.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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