Self-intersections and smoothness of general offset surfaces |
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Authors: | Johannes Wallner |
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Institution: | (1) Institut für Geometrie, TU Wien, Wiedner Hauptstrasse 8-10/113, A-1040 Wien, Austria, e-mail: wallner@geometrie.tuwien.ac.at, AT |
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Abstract: | A convex body N moves such that it touches a closed surface M. While doing this, it is undergoing a purely translational motion. A fixed point of N traces out the general offset surface
during this motion. We study the connection between singularities and self-intersections of and the possible collisions of M with N during this motion and obtain some global results.
Received 27 January 1999. |
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Keywords: | : Offset surface collision avoidance Blaschke's rolling theorem |
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