GI '04 Proceedings of the 2004 Graphics Interface Conference
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
Hybrid Cutting of Deformable Solids
VR '06 Proceedings of the IEEE conference on Virtual Reality
Adaptive physics based tetrahedral mesh generation using level sets
Engineering with Computers
Stable Cutting of Deformable Objects in Virtual Environments Using XFEM
IEEE Computer Graphics and Applications
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
The Role of Haptics in Medical Training Simulators: A Survey of the State of the Art
IEEE Transactions on Haptics
Maintaining Large Time Steps in Explicit Finite Element Simulations Using Shape Matching
IEEE Transactions on Visualization and Computer Graphics
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We propose a novel mesh optimization approach that is useful for speeding up a simulation of finite elements-based deformable objects. The approach is based on a quality metric derived from the critical simulation time step of explicit time integration schemes (i.e., the stability limit for the integration of dynamic equations). Our mesh smoothing approach consists of a set of small and independent spring systems. These are made up of a reference mesh node connected to a set of fixed endpoints, which represent the positions that maximize the time step of the elements adjacent to that node. The reference node is displaced to an equilibrium position through a few local iterations. Each spring's stiffness is weighted depending on the quality of its corresponding element. All spring systems can be computed in parallel. Global iterations update the mesh and spring systems. In addition, we combine our smoothing algorithm with topological transformations. With this approach, the simulation performance could be increased by more than 30% depending on the mesh. This approach is suitable for the generation of finite element method meshes, particularly those requiring interactive applications and haptic rendering. Copyright © 2012 John Wiley & Sons, Ltd.