Name
Abstract | ||
|---|---|---|
A non-planar surface deformation model based on B-splines as finite elements is presented here. The model includes the variational formulation, the system of ordinary differential equations derived from it and its analytical solution. The model has been checked for a variety of surfaces such as tiles, half spheres, planes, etc. Furthermore, we are able to solve the system analytically by only moving a reduced number of control points to deform the surface. This makes the method faster, since numerical methods are no longer necessary. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cad.2012.08.003 | Computer-Aided Design |
Keywords | Field | DocType |
variational formulation,numerical method,finite element,analytical solution,b-splines surface deformation,control point,non-planar surface deformation model,reduced number,analytical simulation,system analytically,ordinary differential,finite elements,computer graphics,b splines | Spline (mathematics),Surface deformation,Mathematical optimization,Ordinary differential equation,Finite element method,SPHERES,Numerical analysis,Computer graphics,Mathematics | Journal |
Volume | Issue | ISSN |
45 | 2 | 0010-4485 |
Citations | PageRank | References |
1 | 0.36 | 23 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel González Hidalgo | 1 | 99 | 18.29 |
| Antoni Jaume-I-Capó | 2 | 46 | 9.34 |
| Arnau Mir | 3 | 59 | 14.40 |
| Gabriel Nicolau-Bestard | 4 | 4 | 1.14 |