Continuous contact simulation for smooth surfaces
ACM Transactions on Graphics (TOG)
Real-Time Elastic Deformations of Soft Tissues for Surgery Simulation
IEEE Transactions on Visualization and Computer Graphics
Real-Time Large Displacement Elasticity for Surgery Simulation: Non-linear Tensor-Mass Model
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Mixing Deformable and Rigid-Body Mechanics Simulation
CGI '04 Proceedings of the Computer Graphics International
A 3-D collision handling algorithm for surgery simulation based on feedback fuzzy logic
IEEE Transactions on Information Technology in Biomedicine - Special section on biomedical informatics
New approaches to catheter navigation for interventional radiology simulation
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Towards Interactive Planning of Coil Embolization in Brain Aneurysms
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
A novel FEM-based numerical solver for interactive catheter simulation in virtual catheterization
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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Accurately describing interactions between medical devices and anatomical structures, or between anatomical structures themselves, is an essential step towards the adoption of computer-based medical simulation as an alternative to traditional training methods. However, while substantial work has been done in the area of real-time soft tissue modeling, little has been done to study the problem of contacts occurring during tissue manipulation. In this paper we introduce a new method for correctly handling complex contacts between various combination of rigid and deformable objects. Our approach verifies Signorini's law by combining Lagrange multipliers and the status method to solve unilateral constraints. Our method handles both concave and convex surfaces by using a displacement subdivision strategy, and the proposed algorithm allows interactive computation times even in very constrained situations. We demonstrate the efficiency of our approach in the context of interventional radiology, with the navigation of catheters and guidewires in tortuous vessels and with the deployment of coils to treat aneurysms.