Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

Interaction Between Design and Functionality

05.08.2010
New BMBF Project on Digital Geometry Processing with Involvement of the MATHEON

For several years already, neither automotive engineering nor life science, architecture or the producers of animation films have been able to work without geometry processing. In the past few years, it has moved into new markets and lastingly changed our communication behaviour. Methods of applied mathematics and resulting efficient and robust algorithms form the basis and driving force of that development.

A team of the DFG Research Center MATHEON is involved and plays a decisive role in that work. Within the framework of a project entitled "GEOMEC – Discrete Geometrical Structural Mechanics for Applications in Virtual and Extended Reality" that is promoted by the Federal Ministry of Education and Research (BMBF), the team of Prof. Ulrich Pinkall of MATHEON has been awarded the subproject "Elasticity with Discrete Differential Geometry". The joint project is coordinated by Junior Professor Max Wardetzky of the Georg-August Universität Göttingen.

Up to now, physical aspects have not been taken into account to their full extent in computer aided geometric design, which has often led to a costly gap between design and functionality in today's production processes. GEOMEC shall close that gap. For example, a designer would like to understand what influence the change of parameters will have on a physical system. At the same time, however, the computing complexity of an exact simulation does still require a considerable expenditure of time and does not allow exact navigation. So it is the aim of the project to overcome that limitation by completely new methods and to be able to describe the physical trajectories in real time and on rough scales. This approach is in particular of importance because it is the extraction of essential information what is of interest to the designer, but never every detail of the actual physical trajectory.

There are being developed new interactive processes and methods that allow to directly integrate the physical-functional aspects into the process of shaping and design. This way, GEOMEC is setting completely new trends in virtual product development and rapid prototyping. The innovative content of the new methods is demonstrated using a selection of concrete applications from the automotive industry as examples.

From a mathematical point of view, these objectives will be achieved by a fusion of methods of structural mechanics with the latest findings in discrete differential geometry (DDG). DDG is located at the interface between numerics and classical differential geometry. It is its approach to maintain and imitate axioms, invariants and fundamental properties of established classical differential geometry at a structural level. Here it has turned out that sophisticated and profound properties of the classical theory often find an amazingly simple and intuitive correspondence in the discrete.

This approach is based on a number of working projects realized by some scientists involved in GEOMEC, such as in particular Ulrich Pinkall and Max Wardetzky, at the MATHEON at an earlier time already. Some of those research projects also relate to the animation of large motion pictures. Realtime simulations of flexible structures considering physical-functional behaviour have caused revolutionary changes especially in the film industry so far - such as in the animation of virtual characters or the simulation of hair, animal coats or fabric close to reality.

But also outside computer graphics, the methods of discrete differential geometry have an extensive potential for industrial applications. Respective examples include digital prototype design, assembly simulation or construction space simulation in automotive engineering, virtual surgery planning or catheter simulation in medicine, fabric simulation and virtual catwalk in the fashion industry, sail simulation in boat building, simulation of flexible cables and tubes in machine and plant construction, rotor blade dynamics of helicopters in aeronautics, but also the simulation of rotors of wind turbines in connection with overall-system simulation using methods of multibody dynamics in the field of renewable energy.

MATHEON-Professor Ulrich Pinkall is responsible for the GEOMEC subproject "Elasticity with Discrete Differential Geometry". Further subprojects are headed by Prof. Marc Alexa, Technische Universität Berlin, School of Electrical Engineering and Computer Science, Prof. Arnd Meyer, Technische Universität Chemnitz, Faculty of Mathematics, Junior Prof. Max Wardetzky, Georg–August Universität Göttingen, Institute for Numerical and Applied Mathematics as well as Dr. Joachim Linn, Fraunhofer-Institut für Techno- und Wirtschaftsmathematik. Volkswagen AG is the cooperation partner.

Further information: Prof. Max Wardetzky, Tel: 0551 3922235, E-mail: wardetzky@math.uni-goettingen.de and Prof. Ulrich Pinkall, Tel.: 030 31424607, E-mail: pinkall@math.tu-berlin.de

Rudolf Kellermann | idw
Further information:
http://www.matheon.de
http://www.math.tu-berlin.de/~pinkall/

More articles from Interdisciplinary Research:

nachricht Stealth Virus for Cancer Therapy
31.01.2018 | Universität Zürich

nachricht New formulas for exploring the age structure of non-linear dynamical systems
23.01.2018 | Max-Planck-Institut für Biogeochemie

All articles from Interdisciplinary Research >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: In best circles: First integrated circuit from self-assembled polymer

For the first time, a team of researchers at the Max-Planck Institute (MPI) for Polymer Research in Mainz, Germany, has succeeded in making an integrated circuit (IC) from just a monolayer of a semiconducting polymer via a bottom-up, self-assembly approach.

In the self-assembly process, the semiconducting polymer arranges itself into an ordered monolayer in a transistor. The transistors are binary switches used...

Im Focus: Demonstration of a single molecule piezoelectric effect

Breakthrough provides a new concept of the design of molecular motors, sensors and electricity generators at nanoscale

Researchers from the Institute of Organic Chemistry and Biochemistry of the CAS (IOCB Prague), Institute of Physics of the CAS (IP CAS) and Palacký University...

Im Focus: Hybrid optics bring color imaging using ultrathin metalenses into focus

For photographers and scientists, lenses are lifesavers. They reflect and refract light, making possible the imaging systems that drive discovery through the microscope and preserve history through cameras.

But today's glass-based lenses are bulky and resist miniaturization. Next-generation technologies, such as ultrathin cameras or tiny microscopes, require...

Im Focus: Stem cell divisions in the adult brain seen for the first time

Scientists from the University of Zurich have succeeded for the first time in tracking individual stem cells and their neuronal progeny over months within the intact adult brain. This study sheds light on how new neurons are produced throughout life.

The generation of new nerve cells was once thought to taper off at the end of embryonic development. However, recent research has shown that the adult brain...

Im Focus: Interference as a new method for cooling quantum devices

Theoretical physicists propose to use negative interference to control heat flow in quantum devices. Study published in Physical Review Letters

Quantum computer parts are sensitive and need to be cooled to very low temperatures. Their tiny size makes them particularly susceptible to a temperature...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

VideoLinks
Industry & Economy
Event News

2nd International Conference on High Temperature Shape Memory Alloys (HTSMAs)

15.02.2018 | Event News

Aachen DC Grid Summit 2018

13.02.2018 | Event News

How Global Climate Policy Can Learn from the Energy Transition

12.02.2018 | Event News

 
Latest News

'Lipid asymmetry' plays key role in activating immune cells

20.02.2018 | Life Sciences

MRI technique differentiates benign breast lesions from malignancies

20.02.2018 | Medical Engineering

Major discovery in controlling quantum states of single atoms

20.02.2018 | Physics and Astronomy

VideoLinks
Science & Research
Overview of more VideoLinks >>>