‘Gielis Transformations in design and engineering’
Johan Gielis
University of Antwerp, Bio-Engineering Sciences
Abstract
Gielis Transformations in design and engineering
Gielis’ Transformations (a.k.a. Superformula) are a generalization of the Pythagorean Theorem. It not only defines the circle, as Pythagoras does, but circles, polygons, starfish, shells, flowers, or superquadrics….; an infinite number of 2D and 3D shapes can be described in a few variables and numbers only.
GT have been used in over 100 widely different applications in science, education and technology. In the field of design and engineering they have been used, among others, for the optimization of wind turbine blades, antennas, nanoparticles and lasers.
In this presentation the following advantages and methods will be highlighted:
• Easy modeling with the computer as a creative sparring partner,
• Extremely compact (and uniform) representations, also of complex shapes,
• Procedural modeling (www.changingthe.game),
• Multi-objective and topology optimization,
• Solution of boundary value problems and mesh-free modeling.
Bio
Johan Gielis
University of Antwerp, Department of Biosciences Engineering
The Antenna Company International (www.antennacompany.com)
For more information:
info@inesc-id.pt
About INESC-ID
INESC-ID, “Instituto de Engenharia de Sistemas e Computadores: Investigação e Desenvolvimento em Lisboa” is a Research and Development and Innovation Organization (R&D+i) in the fields of Computer Science and Electrical and Computer Engineering. INESC-ID mission is to produce added value to people and society, supporting the response of public policies to scientific, health, environmental, cultural, social, economic and political challenges. INESC-ID promotes cooperation between academia and industry by addressing research on daily life issues, such as healthcare, space, mobility, agri-food, industry 4.0, and smart grids. This high level of knowledge transfer is achieved through both competitive research projects and direct contracted research. Public and private entities have therefore access to a pool of knowledge, resources and services provided through the unique competencies available at the institution.
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