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Curvature continuous blend surfaces

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Modeling in Computer Graphics

Part of the book series: IFIP Series on Computer Graphics ((IFIP SER.COMP.))

Abstract

We describe a method to generate blend surfaces which fit with continuous curvature to the primary surfaces. This blend surface is obtained as the bicubic tensor spline minimizing a variational problem. Among all the bicubic tensor splines which give a curvature continuous blend surface, the one is chosen which minimizes a bilinear functional. In Section 2 we summarize and extend the results of a previous paper in such a way that they are applicable to our problem. In Section 3 we outline in detail the procedure how to generate a blend surface based on these results.

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References

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Author information

Authors and Affiliations

  1. IMMD IX Graphische Datenverarbeitung, Universität Erlangen, Am Weichselgarten 9, 8520, Erlangen, Germany

    Günther Greiner & Hans-Peter Seidel

Authors
  1. Günther Greiner
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  2. Hans-Peter Seidel
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Editor information

Editors and Affiliations

  1. Istituto per la Matematica Applicata, C.N.R., Via De Marini, 6 Torre di Francia, 16149, Genova, Italy

    Bianca Falcidieno

  2. Dept. of Information Science Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku Tokyo, 113, Japan

    Tosiyasu L. Kunii

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© 1993 Springer-Verlag Berlin Heidelberg

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Greiner, G., Seidel, HP. (1993). Curvature continuous blend surfaces. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-78114-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78116-2

  • Online ISBN: 978-3-642-78114-8

  • eBook Packages: Springer Book Archive

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