- Computer-aided geometric design
**Computer-aided geometric design (CAGD)**, also known as**geometric modeling**, is a branch ofcomputational 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, [*]*http://books.google.com/books?id=0SV5G8fgxLoC&printsec=frontcover&dq=Computer+Aided+GEOMETRIC+DESIGN&source=gbs_summary_s&cad=0 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). [

*[*]*http://library.wolfram.com/infocenter/Conferences/5812/ Computer Aided Geometric Design in Mathematica*]**Fields of application****Architectural freeform design**Frank Gehry |Zaha Hadid |Herzog & de Meuron | ...

Cecil Balmond |

[*http://www.smartgeometry.org/ Smart Geometry*] | [*http://www.smartgeometry2007.com/agenda.asp 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: [*]*http://www.geometrie.tuwien.ac.at/ig/sn/2007/pbw_surfaces_07/pbw_surfaces_07.html***Discrete surfaces for architectural design****]****References****Journals*** [

*http://www.elsevier.com/wps/find/journaldescription.cws_home/505604/description#description Computer Aided Geometric Design*]**See also***

CAD /CAM/CAE

*Solid modeling

*Computational topology

*Digital geometry

* Computational Geometry Algorithms Library (CGAL)

*Space partitioning

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geometric model ling

*parametric curve s

*parametric surface s

*Architectural geometry **External links*** [

*http://www.geometrie.tuwien.ac.at/ig/ Geometric Modeling and Industrial Geometry*]

* [*http://k3dsurf.sourceforge.net/ K3DSurf — A program to visualize and manipulate Mathematical models in three, four, five and six dimensions. K3DSurf supports Parametric equations and Isosurfaces*]

* [*http://www.javaview.de/ JavaView — a 3D geometry viewer and a mathematical visualization software.*]

* [*http://demonstrations.wolfram.com/topic.html?topic=3D+Graphics&limit=100 Related Wolfram Demonstration Projects*]

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