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Constructing smooth surfaces

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Bézier and B-Spline Techniques

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Abstract

The simple C 1 joint discussed in 11.7 is too restrictive for modelling smooth regular surfaces of arbitrary shape. Here, we present general C 1-conditions and a interpolation scheme that allows to design regular surfaces of arbitrary topology with triangular patches.

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Authors and Affiliations

  1. Geometrische Datenverarbeitung, Universität Karlruhe (TH), Am Fasanengarten 5, 76128, Karlsruhe, Germany

    Hartmut Prautzsch

  2. Angewandte Geometrie und Computergraphik, Technische Universität Braunschweig, Pockelsstraße 14, 38106, Braunschweig, Germany

    Wolfgang Boehm

  3. Escuela de Matematicas, Facultad de Ciencias, Universidad Central de Venezuela, Paseo Los Ilustres, 20513, Caracas, Venezuela

    Marco Paluszny

Authors
  1. Hartmut Prautzsch
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  2. Wolfgang Boehm
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  3. Marco Paluszny
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© 2002 Springer-Verlag Berlin Heidelberg

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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Constructing smooth surfaces. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_13

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  • DOI: https://doi.org/10.1007/978-3-662-04919-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07842-2

  • Online ISBN: 978-3-662-04919-8

  • eBook Packages: Springer Book Archive

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