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Benchmarking in the Area of Planar Shape-Preserving Interpolation

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Advanced Course on FAIRSHAPE

Abstract

This paper contains a representative sample of the benchmarking activity of FAIRSHAPE in the area of Shape-Preserving Interpolation. Four (4) partners of the project, namely the Universities of Dundee (UK), Florence (IT) and Zaragoza (SP), as well as the National Technical University of Athens (GR), have tested their algorithms for planar shape-preserving interpolation against two (2) academic and ten (10) industrial data sets. The outcomes of the algorithms are presented, in tabular and graphical form, and compared on the basis of a set of fairness measures, which were agreed upon at the 2nd Internal Workshop of FAIRSHAPE (Berlin, August 1995).

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References

  1. T.N.T. Goodman: Shape preserving interpolation by parametric rational cubic splines. In International Series of Numerical Mathematics, 86, Birkhauser Verlag, Basel (1988), 149–158.

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  2. T.N.T. Goodman and K. Unsworth: An algorithm for generating shape preserving parametric interpolating curves using rational cubic splines, University of Dundee Report CS 89 /01, October 1989.

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  3. J. Carnicer and M. Floater: Coconvexity Preserving Curve Interpolation. In these Proceedings.

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  5. P. Costantini: BVSPIS: A Package for Computing Boundary Valued Shape-Preserving Interpolating Splines. University of Siena, Technical Report (1995), submitted for publication in Transactions of Mathematical Software.

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Author information

Authors and Affiliations

  1. Dept. of Naval Architecture and Marine Engineering Ship-Design Laboratory, CAGD Group, National Technical University of Athens, Greece

    Prof. Dr. Panagiotis D. Kaklis & Nikolaos C. Gabrielides

Authors
  1. Prof. Dr. Panagiotis D. Kaklis
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  2. Nikolaos C. Gabrielides
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Editor information

Editors and Affiliations

  1. University of Technology Darmstadt, Germany

    Josef Hoschek

  2. National Technical University of Athens, Greece

    Panagiotis D. Kaklis (Project-coordinator) (Project-coordinator)

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© 1996 B. G. Teubner Stuttgart

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Kaklis, P.D., Gabrielides, N.C. (1996). Benchmarking in the Area of Planar Shape-Preserving Interpolation. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_21

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  • DOI: https://doi.org/10.1007/978-3-322-82969-6_21

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-519-02634-1

  • Online ISBN: 978-3-322-82969-6

  • eBook Packages: Springer Book Archive

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