Thursday, November 6

Curve/Surface Fairing and Shape Optimization

10:30 AM-12:30 PM
Room: Cheekwood

The problem of "fairness" has become of central importance in the design of free-form curves/surfaces in CAD/CAM. A curve/surface is characterized as "fair" either if it has a visual pleasing shape, a smooth shape or if it satisfies certain continuity requirements. Various mathematical definitions of "fairness" lead to different techniques for the design of "fair" curves and surfaces. Variational methods incorporate the fairness criterion as a constraint in the design process and post-processing fairing methods apply to a given curve/surface in order to improve its shape. Both techniques make more and more use of non-linear constraints. The speakers in this minisymposium will report on recent achievements in the use of linear and non-linear "fairness" constraints for shape optimization and the use of smooth Pythagorean-Hodograph curves for the design and manufacturing of high-speed cams. The industrial application of these results will be illustrated by several examples.

Organizer: Stefanie Hahmann
INP University of Grenoble, France

10:30 Shape-Preserving Fairing of Tensor-Product B-spline Surfaces
P.D. Kaklis, G.D. Koras and T.P. Gerostathis, National Technical University of Athens (NTUA), Greece
11:00 Shape Optimization Using the PDE Method
Malcolm I. G. Bloor and Michael J. Wilson, University of Leeds, United Kingdom
11:30 Design and Manufacture of High-Performance Rational Cams with Pythagorean-Hodograph Curves
Rida T. Farouki, Uiversity of Michigan, Ann Arbor
12:00 Shape Optimization by Using Masks
Stefanie Hahmann, Organizer

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MMD, 8/25/97