Name
Abstract | ||
|---|---|---|
Mass spring models are frequently used to simulate deformable objects because of their conceptual simplicity and computational speed. Unfortunately, the model parameters are not related to elastic material constitutive laws in an obvious way. Several methods to set optimal parameters have been proposed, but so far only with limited success. We analyze the parameter identification problem and show the difficulties, which have prevented previous work from reaching wide usage. Our main contribution is a new method to derive analytical expressions for the spring parameters from an isotropic linear elastic reference model. The method is described and expressions for several mesh topologies are derived. These include triangle, rectangle and tetrahedron meshes. The formulae are validated by comparing the static deformation of the MSM with reference deformations simulated with the finite element method. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/TVCG.2007.1055 | IEEE Trans. Vis. Comput. Graph. |
Keywords | Field | DocType |
isotropic linear elastic reference,spring parameters,mass spring model,analytical expression,spring parameter,model parameter,deformable object,finite element method,computational speed,deformable object simulation,new method,conceptual simplicity,linear elasticity,mathematical model,force,parameters,static,elastic deformation,computer graphics,mass spring system,reference model,finite element methods,computational modeling,identification,finite element analysis,parameter estimation,constitutive law | Applied mathematics,Isotropy,Mathematical optimization,Polygon mesh,Reference model,Effective mass (spring–mass system),Computer science,Rectangle,Finite element method,Theoretical computer science,Linear elasticity,Parameter identification problem | Journal |
Volume | Issue | ISSN |
13 | 5 | 1077-2626 |
Citations | PageRank | References |
44 | 1.83 | 18 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bryn Lloyd | 1 | 44 | 1.83 |
| Gábor Székely | 2 | 254 | 35.35 |
| Matthias Harders | 3 | 118 | 7.85 |