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CAD Systems Development pp 183–198Cite as

Transfinite B-spline Interpolation with Derivatives

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Abstract

Cross-sections are a simple but powerful method to define complex shapes. We present a method which analyzes a given grid of B-spline curves to determine cross-boundary derivatives, such that G 1 or G 2-continuous tensor-product B-spline surfaces interpolating the given curve grid can be determined. The transfinite (curve interpolation) problem is converted to an equivalent point interpolation problem with well known solution techniques.

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Author information

Authors and Affiliations

  1. Mechanical Design Division, Hewlett-Packard GmbH, Böblingen, Germany

    E. Gschwind

  2. Computer Science Department, University of Kaiserslautern, Kaiserslautern, Germany

    H. Hagen

Authors
  1. E. Gschwind
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  2. H. Hagen
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Universität Stuttgart, Breitwiesenstrasse 20–22, D-70565, Stuttgart, Germany

    Dieter Roller

  2. Dep. de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Av.Diagonal 647,8a, E-08028, Barcelona, Spain

    Pere Brunet

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© 1997 Springer-Verlag Berlin Heidelberg

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Gschwind, E., Hagen, H. (1997). Transfinite B-spline Interpolation with Derivatives. In: Roller, D., Brunet, P. (eds) CAD Systems Development. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60718-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-60718-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64523-5

  • Online ISBN: 978-3-642-60718-9

  • eBook Packages: Springer Book Archive

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