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High Order Continuous Polygonal Patches

  • Conference paper
Geometric Modelling

Part of the book series: Computing Supplementum ((COMPUTING,volume 8))

  • 169 Accesses

Abstract

A polygonal patch method is described which can be used to fill a polygonal hole within a given k’th order continuous rectangular patch complex. The method is relatively easy to implement, since it only requires C k extensions of the rectangular patch complex defined in terms of the rectangular patch parameterizations. The method is illustrated by reference to C 2 bicubic B-spline surfaces.

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References

  1. Charrot, P., Gregory, J. A.: A pentagonal surface patch for computer aided geometric design. Computer Aided Geometric Design 1, 87–94 (1984).

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  2. Gregory, J. A., Hahn, J. M.: Polygonal patches of high order continuity, Technical Report TR/01/87, Mathematics & Statistics Department, Brunel University, 1987a.

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  4. Gregory, J. A., Hahn, J. M.: A C2 polygonal surface patch. Computer Aided Geometric Design 6, 69–75 (1989).

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  5. Gregory, J. A., Lau, V. K. H., Zhou, J.: Smooth parametric surfaces and n-sided patches. In: Dahmen, W., Gasca, M., Micchelli, C. A. (eds.) Kluwer Academic Publishers 1990. Computation of curves and surfaces. ( NATO ASI Series C, 307 )

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

    John A. Gregory

  2. Sindelfingen, Germany

    J. M. Hahn

  3. Uxbridge, UK

    V. K. H. Lau

Authors
  1. John A. Gregory
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  2. V. K. H. Lau
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  3. J. M. Hahn
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Arizona State University, Tempe, USA

    G. Farin

  2. Lehrstuhl für Informatik I, Universität Würzburg, Federal Republic of Germany

    H. Noltemeier

  3. Fachbereich Informatik, Universität Kaiserslautern, Federal Republic of Germany

    H. Hagen

  4. Institut für Informatik, Universität Leipzig, Federal Republic of Germany

    W. Knödel

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© 1993 Springer-Verlag

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Gregory, J.A., Lau, V.K.H., Hahn, J.M. (1993). High Order Continuous Polygonal Patches. In: Farin, G., Noltemeier, H., Hagen, H., Knödel, W. (eds) Geometric Modelling. Computing Supplementum, vol 8. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6916-2_8

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  • DOI: https://doi.org/10.1007/978-3-7091-6916-2_8

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82399-6

  • Online ISBN: 978-3-7091-6916-2

  • eBook Packages: Springer Book Archive

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