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Curvature continuous blend surfaces

  • Günther Greiner
  • Hans-Peter Seidel
Part of the IFIP Series on Computer Graphics book series (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.

Keywords

Boundary Data Finite Dimensional Subspace Spline Surface Primary Surface Infinite Dimensional Linear System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Günther Greiner
    • 1
  • Hans-Peter Seidel
    • 1
  1. 1.IMMD IX Graphische DatenverarbeitungUniversität ErlangenErlangenGermany

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