Name
Abstract | ||
|---|---|---|
It has been technically challenging to effectively model and simulate elastic deformation of spline-based, thin-shell objects of complicated topology. This is primarily because traditional FEM are typically defined upon planar domain, therefore incapable of constructing complicated, smooth spline surfaces without patching/trimming. Moreover, at least C1 continuity is required for the convergence of FEM solutions in thin-shell simulation. In this paper, we develop a new paradigm which elegantly integrates the thin-shell FEM simulation with geometric design of arbitrary manifold spline surfaces. In particular, we systematically extend the triangular B-spline FEM from planar domains to manifold domains. The deformation is represented as a linear combination of triangular B-splines over shell surfaces, then the dynamics of thin-shell simulation is computed through the minimization of Kirchhoff-Love energy. The advantages given by our paradigm are: FEM simulation of arbitrary manifold without meshing and data conversion, and the integrated approach for geometric design and dynamic simulation/analysis. Our system also provides a level-of-detail sculpting tool to manipulate the overall shapes of thin-shell surfaces for effective design. The proposed framework has been evaluated on a set of spline models of various topologies, and the results demonstrate its efficacy in physics-based modeling, interactive shape design and finite-element simulation. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11784203_53 | Computer Graphics International |
Keywords | Field | DocType |
thin-shell object,finite-element simulation,fem solution,dynamic simulation,spline thin-shell simulation,thin-shell surface,thin-shell fem simulation,planar domain,geometric design,thin-shell simulation,manifold surface,fem simulation,smoothing spline,level of detail,modeling and simulation | B-spline,Spline (mathematics),Topology,Mathematical optimization,Computer science,Finite element method,Subdivision surface,Geometric design,Integrated design,Geometry,Manifold,Dynamic simulation | Conference |
Volume | ISSN | ISBN |
4035 | 0302-9743 | 3-540-35638-X |
Citations | PageRank | References |
2 | 0.37 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kexiang Wang | 1 | 103 | 6.35 |
| Ying He | 2 | 1264 | 105.35 |
| Xiaohu Guo | 3 | 559 | 43.85 |
| Hong Qin | 4 | 2120 | 184.31 |