SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
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
Interactive Simulation of Surgical Cuts
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Virtual Reality-Based Simulation of Endoscopic Surgery
Presence: Teleoperators and Virtual Environments
A State Machine for Real-Time Cutting of Tetrahedral Meshes
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
A state machine for real-time cutting of tetrahedral meshes
Graphical Models - Special issue on pacific graphics 2003
Cutting on Triangle Mesh: Local Model-Based Haptic Display for Dental Preparation Surgery Simulation
IEEE Transactions on Visualization and Computer Graphics
Arbitrary cutting of deformable tetrahedralized objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Presence: Teleoperators and Virtual Environments
Real-time deformable models for surgery simulation: a survey
Computer Methods and Programs in Biomedicine
A hybrid cutting approach for hysteroscopy simulation
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
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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Virtual reality based surgical simulators offer a very elegant approach to enhancing traditional training in endoscopic surgery. In this context a realistic soft tissue model is of central importance. The most accurate procedures for modeling elastic deformations of tissue use the Finite Element Method to solve the governing mechanical equations. Therapeutic interventions (e.g. cutting) require topological changes of the Finite Element mesh, thus making a non-trivial remeshing step necessary. This paper describes a new approach to cutting in Finite Element models. The central idea is not to introduce new nodes/elements but to displace the existing ones to account for the topological changes introduced by a cut. After the displacement of the nodes/elements the mesh is homogenized to avoid tiny elements which destabilize the explicit time integration necessary for solving the equations of motion.