10:30 AM-12:30 PM
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
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