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Composition of Tensor Product Bézier Representations

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Geometric Modelling

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

Abstract

Trimming of surfaces and volumes, curve and surface modeling via Bézier’s idea of destortion, segmentation, reparametrization, geometric continuity are examples of applications of functional composition. This paper shows how to compose polynomial and rational tensor product Bézier representations. The problem of composing Bézier splines and B-spline representations will also be addressed in this paper.

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References

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Author information

Authors and Affiliations

  1. Computer Science, University of Kaiserslautern, D-W-6750, Kaiserslautern, Federal Republic of Germany

    D. Lasser

Authors
  1. D. Lasser
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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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Lasser, D. (1993). Composition of Tensor Product Bézier Representations. 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_11

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  • DOI: https://doi.org/10.1007/978-3-7091-6916-2_11

  • 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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