Name
Abstract | ||
|---|---|---|
In this paper an analytic solution of an evolution model is proposed in order to deform B-splines parametric surfaces. The deformation model is based on an associated energy functional to one surface and its variational formulation is introduced. After some simplifications including assumptions regarding the mass and damping matrices and taking into account the properties of B-splines when are used as finite elements, a second order differential equations is obtained which can be solved analytically. The spatial discretization where these finite elements are defined and computed appears as a reduced number of control points and is deformed instead of all the surface points, obtaining an efficient and fast method in order to simulate surface deformations. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-70517-8_33 | AMDO |
Keywords | Field | DocType |
b-splines parametric surface,deformation model,finite element,control point,analytic solution,b-spline surfaces deformation,associated energy,evolution model,analytical simulation,surface deformation,surface point,order differential equation,computer graphics,b splines,parametric surface | Parametric surface,B-spline,Discretization,Mathematical analysis,Matrix (mathematics),Finite element method,Analytic solution,Deformation (mechanics),Energy functional,Mathematics | Conference |
Volume | ISSN | Citations |
5098 | 0302-9743 | 2 |
PageRank | References | Authors |
0.43 | 5 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel González Hidalgo | 1 | 99 | 18.29 |
| Antoni Jaume Capó | 2 | 2 | 0.43 |
| Arnau Mir | 3 | 59 | 14.40 |
| Gabriel Nicolau-Bestard | 4 | 4 | 1.14 |