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Fast algorithms for computing β-Skeletons and their relatives

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Algorithms and Computation (ISAAC 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1350))

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Abstract

In this paper we present fast algorithms for computing β-skeletons

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References

  1. J. L. Bentely and H. A. Maurer. A note on euclidean near neighbor searching in the plane. Inform. Process. Lett., 8:133–136, 1979.

    Google Scholar 

  2. M. Chang, C. Tang, and R. Lee. Solving the euclidean bottleneck matching problem by k-relative neighborhood graph. Algorithmica, 8:177–194, 1992.

    Google Scholar 

  3. J. W. Jaromczyk, M. Kowaluk, and F. Yao. An optimal algorithm for constructing β-skeletons in the l p metric. To be published in SIAM J. Computing.

    Google Scholar 

  4. D. G. Kirkpatrick and J. D. Radke. A framework for computational morphology. In G. T. Toussaint, editor, Computational Geometry, pages 217–248. North-Holland, 1985.

    Google Scholar 

  5. Andrzej Lingas. A linear-time construction of the relative neighborhood graph from the delaunay triangulation. Comput. Geom. Theory Appl., 4:199–208, 1994.

    Google Scholar 

  6. Andy Mirzaian. Minimum weight euclidean matching and weighted relative neighborhood graphs. In Proc. 3rd Workshop Algorithms Data Struct., volume 709 of Lecture Notes Comput. Sci., pages 506–517, 1993.

    Google Scholar 

  7. F. P. Preparata and M. I. Shamos. Computational Geometry: An Introduction. Springer, New York, 1985.

    Google Scholar 

  8. S. V. Rao and Asish Mukhopadhyay. Output-sensitive algorithm for computing β-skeleton. manuscript, 1997.

    Google Scholar 

  9. T. H. Su and R. Ch. Chang. The k-gabriel graphs and their applications. In Proc. Int. Symp., SIGAL '90, pages 66–75, 1990.

    Google Scholar 

  10. T. H. Su and R. Ch. Chang. Computing the k-relative neighborhood graphs in euclidean plane. Pattern Recogn., 24:231–239, 1991.

    Google Scholar 

  11. G. T. Toussaint. The relative neighborhood graph of a finite planar set. Pattern Recogn., 12:261–268, 1980.

    Google Scholar 

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Authors and Affiliations

Authors

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Hon Wai Leong Hiroshi Imai Sanjay Jain

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© 1997 Springer-Verlag Berlin Heidelberg

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Rao, S.V., Mukhopadhyay, A. (1997). Fast algorithms for computing β-Skeletons and their relatives. In: Leong, H.W., Imai, H., Jain, S. (eds) Algorithms and Computation. ISAAC 1997. Lecture Notes in Computer Science, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63890-3_40

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  • DOI: https://doi.org/10.1007/3-540-63890-3_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63890-2

  • Online ISBN: 978-3-540-69662-9

  • eBook Packages: Springer Book Archive

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