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Arbitrary cutting of deformable tetrahedralized objects (2007).
| Content Provider | CiteSeerX |
|---|---|
| Author | Der, Kevin G. Sifakis, Eftychios Fedkiw, Ronald |
| Abstract | We propose a flexible geometric algorithm for placing arbitrary cracks and incisions on tetrahedralized deformable objects. Although techniques based on remeshing can also accommodate arbitrary fracture patterns, this flexibility comes at the risk of creating sliver elements leading to models that are inappropriate for subsequent simulation. Furthermore, interactive applications such as virtual surgery simulation require both a relatively low resolution mesh for efficient simulation of elastic deformation and highly detailed surface geometry to facilitate accurate manipulation and cut placement. Thus, we embed a high resolution material boundary mesh into a coarser tetrahedral mesh using our cutting algorithm as a meshing tool, obtaining meshes that can be efficiently simulated while preserving surface detail. Our algorithm is similar to the virtual node algorithm in that we avoid sliver elements and their associated stringent timestep restrictions, but it is significantly more general allowing for the arbitrary cutting of existing cuts, sub-tetrahedron resolution (e.g. we cut a single tetrahedron into over a thousand pieces), progressive introduction of cuts while the object is deforming, and moreover the ability to accurately cut the high resolution embedded mesh. |
| File Format | |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Subject Keyword | Sub-tetrahedron Resolution Single Tetrahedron Efficient Simulation High Resolution Material Boundary Mesh Arbitrary Fracture Pattern Detailed Surface Geometry Elastic Deformation Arbitrary Crack Surface Detail Arbitrary Cutting Virtual Surgery Simulation Virtual Node Algorithm Sliver Element Subsequent Simulation Meshing Tool Tetrahedralized Deformable Object Progressive Introduction Flexible Geometric Algorithm Deformable Tetrahedralized Object High Resolution Thousand Piece Interactive Application Accurate Manipulation Low Resolution Mesh Coarser Tetrahedral Mesh Associated Stringent Timestep Restriction |
| Content Type | Text |