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Shaping geometric objects by cumulative translational sweeps

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3 Author(s)
Evans, R.C. ; IBM Thomas J. Watson Research Center. P.O. Box 218, Yorktown Heights, New York 10598, USA ; Koppelman, G. ; Rajan, V.T.

This paper introduces the cumulative translational sweep (CTS) as a tool for shaping geometric objects. It describes how it may be applied, in combination with Boolean operations, to stimulate growth and shrinking over the boundary regions of polyhedral models, and how, by creating additional facets, it may be used to achieve global rounding effects along model edges and around their vertices. CTSs are examined in terms of a conceptual framework that describes their effects as Minkowski sums—of the polyhedra to be swept, with convex polyhedra from the class of mathematical objects known as zonotopes. Included is a discussion of applications in the OYSTER program, a CAD system for the simulation of semiconductor wafer fabrication.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:31 ,  Issue: 3 )