Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
Linear constraints for deformable non-uniform B-spline surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Interactive grid generation and NURBS applications
Applied Mathematics and Computation - Special issue on differential equations and computational simulations I
The NURBS book
CAGD techniques in grid generation
CAGD techniques in grid generation
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
D-NURBS: A Physics-Based Framework for Geometric Design
IEEE Transactions on Visualization and Computer Graphics
An optimization approach for constructing trivariate B-spline solids
Computer-Aided Design
Hi-index | 0.00 |
High fidelity simulations using mesh-based computational technologies such as computational fluid dynamics and computational structural mechanics are very important in providing valuable performance information of a design. These simulations, however, require accurate geometry representation as well as high quality meshes about the design in order to obtain accurate data. Unfortunately, while three-dimensional complex geometry is involved, it is a challenge to maintain geometry fidelity while trying to obtain high quality meshes. This paper discusses detailed information associated with non-uniform rational B-splines (NURBS) and its utilizations for geometry and mesh generation. It will go beyond regular curve and surface formulations to include NURBS volume and dynamic NURBS. Detailed NURBS formulations are described through mathematical expressions and applications to demonstrate the versatility and reliability of NURBS in geometry and mesh generation that enable high performance computational simulations.