Real-Time Deformable Models of Non-Linear Tissues by Model Reduction Techniques

Siamak Niroomandi (1) , Icíar Alfaro (1) , Elías Cueto (1) , Francisco Chinesta (2)

1 I3A - Aragón Institute of Engineering Research [Zaragoza]
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés

Biological soft tissues show highly non-linear behaviour and they are usually modelled using finite element method. The real-time simulation of human tissues is of particular interest with applications in surgical simulators or minimally invasive surgery simulation. In such user interactive applications it is commonly accepted that a minimum bandwidth of 20-60 Hz for visual feedback and a 300-1000 Hz for haptic display is necessary. The obtained solution using such FE methodology is very accurate, but the amount of computation is significant, prohibiting interactive applications for models with more than a couple of hundred elements. This is so since at each time step a new stiffness matrix is usually computed in a Newton-Raphson scheme, for instance, and then a large system of equations must be inverted that is computationally demanding.

Mots clés: non-linear behaviour; biological tissues; model reduction techniques; proper orthogonal decomposition; Karhunen-Loève Decomposition

Domaines: Mécanique [physics.med-ph]; Matériaux

Siamak Niroomandi, Icíar Alfaro, Elías Cueto, Francisco Chinesta. Real-Time Deformable Models of Non-Linear Tissues by Model Reduction Techniques. 8th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, 2008, Porto, Portugal. ⟨hal-01008730⟩