Abstract

For applications such as the generation of ornamental patterns for the numerical control of sewing machines in the textile industry or in the shoe industry or the numerical control of milling machines in the car body industry, offset curves must be generated from curves D i given by a designer. During the generation process further problems arise, for example finding the intersection points of neighbouring branches of the offset curves or deleting undesirable portions of the offset curves with cusps or with self-intersection points. In this paper methods are developed for attacking this problems.

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