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Trimming Local and Global Self-intersections in Offset Curves Using Distance Maps

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Mathematics of Surfaces

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2768))

Abstract

The problem of detecting and eliminating self-intersections in offset curves is a fundamental question that has attracted numerous researchers over the years. The interest has resulted in copious publications on the subject.

Unfortunately, the detection of self-intersections in offset curves, and more so, the elimination of these self-intersections are difficult problems with less than satisfactory answers.

This paper offers a simple, and equally important robust, scheme to detect and eliminate local as well as global self-intersections in offsets of freeform curves. The presented approach is based on the derivation of an analytic distance map between the original curve and its offset.

The research was supported in part by the Fund for Promotion of Research at the Technion, IIT, Haifa, Israel.

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© 2003 Springer-Verlag Berlin Heidelberg

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Elber, G. (2003). Trimming Local and Global Self-intersections in Offset Curves Using Distance Maps. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_15

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  • DOI: https://doi.org/10.1007/978-3-540-39422-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20053-6

  • Online ISBN: 978-3-540-39422-8

  • eBook Packages: Springer Book Archive

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