Name
Title | ||
|---|---|---|
A construction of injective parameterizations of domains for isogeometric applications. |
Abstract | ||
|---|---|---|
We present a new method to construct a B-spline parameterization of a domain defined by its boundary curves or surfaces. The method is based on solving Laplace equations on the physical domain. The equations are then pulled back to the parameter domain to deduce an elliptic system of Partial Differential Equations with boundary conditions. This system, solved by relaxation techniques, yields the required parameterization. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1145/2331684.2331707 | Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation |
Keywords | Field | DocType |
parameter domain,b-spline parameterization,boundary condition,elliptic system,isogeometric application,partial differential equations,required parameterization,physical domain,boundary curve,laplace equation,injective parameterizations,new method,partial differential equation | Boundary value problem,Mathematical optimization,Mathematical analysis,Fictitious domain method,Numerical partial differential equations,Free boundary problem,Poincaré–Steklov operator,Elliptic partial differential equation,Partial differential equation,Mathematics,Mixed boundary condition | Conference |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thien Nguyen | 1 | 30 | 5.70 |
| Bernard Mourrain | 2 | 1074 | 113.70 |
| André Galligo | 3 | 0 | 0.34 |
| Gang Xu | 4 | 0 | 0.34 |