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Curves and Surfaces designed in a computer graphics environment have many applications, including the design of cars, air-planes, shipbodies and modelling robots. These free-form objects are on essential part of powerful CAD-systems. In the next 5 years there will be a new modelling paradigm: Simulation Based Modelling
State of the art:
This modelling techniques starts with the structuring of point data delivered from a simulation
process. This is a pre-processing step before the actual surface reconstruction takes place. First the
focus is set to an algorithm to reduce the data of large point sets. Subsequent a method for curvature
approximation, based on the Delauny triangulation of a set of points is decribed. By means of
curvature discontinuities the points are grouped to represent separate surface-patches of the model.
As a final step a special variation design technique can be used to generate the surface. Besides the
design and construction of computer shapes, quality analysis methods are getting more and more
important. Reflections lines and generalized focal surfaces are currently state of the art as surface
interrogation tools.
Hans Hagen is a professor of computer science and the director of a DFKI-institute "On Visualization and Simulation Systems" at the University of Kaiserslautern, where he teaches and does research in the areas of scientific visualization and geometric modeling.,Professor Hagen has written over 100 scientific articles, and edited several books. He closely cooperates with several institutions and universities worldwide.,He received his Ph.D. in mathematics (geometry) from the University of Dortmund in 1982, and MS and BS in mathematics and BS in computer science from the University of Freiburg. Before moving to Kaiserslautern he held faculty positions at the University of Braunschweig and at Arizona State University.
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