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Approximation of polygonal curves with minimum number of line segments

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Algorithms and Computation (ISAAC 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 650))

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Abstract

We improve the time complexity to solve the polygonal curve approximation problem formulated by Imai and Iri from O(n 2 log n) to O(n 2). If the curve to be approximated forms part of a convex polygon, we show that the time complexity can be further reduced to O(n).

This research is partially supported by a UPGC Research Grant.

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Toshihide Ibaraki Yasuyoshi Inagaki Kazuo Iwama Takao Nishizeki Masafumi Yamashita

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© 1992 Springer-Verlag Berlin Heidelberg

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Chan, W.S., Chin, F. (1992). Approximation of polygonal curves with minimum number of line segments. In: Ibaraki, T., Inagaki, Y., Iwama, K., Nishizeki, T., Yamashita, M. (eds) Algorithms and Computation. ISAAC 1992. Lecture Notes in Computer Science, vol 650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56279-6_90

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  • DOI: https://doi.org/10.1007/3-540-56279-6_90

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56279-5

  • Online ISBN: 978-3-540-47501-9

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