Algorithmic geometry
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
A Surgery Simulation Supporting Cuts and Finite Element Deformation
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Modifying Soft Tissue Models: Progressive Cutting with Minimal New Element Creation
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Real-time Collision Detection for Virtual Surgery
CA '99 Proceedings of the Computer Animation
Interactive Simulation of Surgical Cuts
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Real-time haptic incision simulation using FEM-based discontinuous free form deformation
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Real-time haptic incision simulation using FEM-based discontinuous free-form deformation
Computer-Aided Design
Mesh cutting during real-time physical simulation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Mesh cutting during real-time physical simulation
Computer-Aided Design
Serial FEM/XFEM-based update of preoperative brain images using intraoperative MRI
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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One of the most difficult problem in surgical simulation consists in simulating the removal of soft tissue. This paper proposes an efficient method for locally refining and removing tetrahedra in a real-time surgical simulator. One of the key feature of this algorithm is that the tetrahedral mesh remains a 3-manifold volume during the cutting simulation. Furthermore, our approach minimizes the number of generated tetrahedra while trying to optimize their shape quality. The removal of tetrahedra is performed with a strategy which combines local refinement with the removal of neighboring tetrahedra when a topological singularity is found.