Computer-aided geometric design
Computer-aided geometric design (CAGD), also known as geometric modeling, is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes.[1]
Computera-aided geometric design (CAGD) studies especially the construction and manipulation of curves and surfaces given by a set of points using polynomial, rational, piecewise polynomial, or piecewise rational methods. This branch is closely related to several other branches, such as geometric modeling (for example, Non-Uniform Rational B-Spline (NURBS) objects represent the fundamental structures of modern computer systems used in the aircraft and car industry, such as CATIA V5) or data fitting (interpolation, approximation of a set of points).[2]
Fields of application
Architectural Freeform Design
Frank Gehry | Zaha Hadid | Herzog & de Meuron | ...
Cecil Balmond |
Smart Geometry | Architecture in a Parametric Age |
Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry.[3]
References
- ^ Farin, G.: A History of Curves and Surfaces in CAGD, Handbook of Computer Aided Geometric Design
- ^ Computer Aided Geometric Design in Mathematica
- ^ H. Pottmann, S. Brell-Cokcan and J. Wallner:Discrete surfaces for architectural design
Journals
See also
- CAD/CAM/CAE
- Solid modeling
- Computational topology
- Digital geometry
- Computational Geometry Algorithms Library (CGAL)
- Space partitioning
- Wikiversity:Topic:Computational geometry
External links
- Geometric Modeling and Industrial Geometry
- K3DSurf — A program to visualize and manipulate Mathematical models in three, four, five and six dimensions. K3DSurf supports Parametric equations and Isosurfaces
- JavaView — a 3D geometry viewer and a mathematical visualization software.
- Related Wolfram Demonstration Projects