Computer-aided geometric design

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. [Farin, G.: A History of Curves and Surfaces in CAGD, [ Handbook of Computer Aided Geometric Design] ]

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). [ [ Computer Aided Geometric Design in Mathematica] ]

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. [H. Pottmann, S. Brell-Cokcan and J. Wallner: [ Discrete surfaces for architectural design] ]



* [ Computer Aided Geometric Design]

See also

* Solid modeling
* Computational topology
* Digital geometry
* Computational Geometry Algorithms Library (CGAL)
* Space partitioning

* geometric modelling
* parametric curves
* parametric surfaces
* Architectural 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]

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