Advancing computer-aided design
A European training network aims to upgrade existing computer-aided design (CAD) capabilities by devising new algorithms for more advanced representation of surfaces and three-dimensional (3D) shapes.
CAD constitutes an integral part of the design and development process of many products. Current technology is based on classical and computational geometry. However, with the advent of information technology (IT) processing, complex geometrical models can be easily digitised, posing a challenge for existing CAD.
To advance performance of CAD systems, the EU is funding researchers under the ‘Shapes, geometry and algebra’ (SAGA) training network. The main aim is to advance the mathematical foundations of CAD technology and offer the opportunity to learn geometric modelling both from the industrial and the fundamental mathematics perspectives.
The network is addressing the issue of implicit representation of shapes in CAD and focusing on geometric computing and algebraic tools. The aim is to combine real algebraic geometry and spline surface representation in CAD so that it can be extended to the theory of multivariate algebraic splines. Partners are in the process of developing different techniques for dealing with and manipulating procedural curves and surfaces by using evaluation schemes.
Another focus of the project involves the algebraic geometry for CAD applications. To meet the challenges of representing various surfaces and 3D volumes, as well as isogeometric representations, scientists have adopted exact representations rather than approximate solutions. They have also addressed practical industrial problems such as accurate modelling of the structures of wood. Algorithms have been devised to allow computer-aided manufacturing and analysis of wooden products.
SAGA training is preparing young scientists to master the challenges of combining CAD and algebraic geometry. The project results are expected to improve existing CAD technology and further broaden its applications.
Information Source: Result from the EU funded FP7-PEOPLE programme
DOKKEN, Tor (Dr)
SINTEF ICT - Applied Mathematics
Blindern, Forskningsveien PO Box 124
Offer ID: 8473