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Glätten von Flächen

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • J. Hoschek

    (Technische Hochschule Darmstadt, Fachbereich Mathematik)

  • U. Dietz

    (Technische Hochschule Darmstadt, Fachbereich Mathematik)

  • J. Hadenfeld

    (Technische Hochschule Darmstadt, Fachbereich Mathematik)

  • C. G. Porta

    (Holometric Technologies)

  • Wahl

    (Mercedes-Benz AG)

Abstract

In CAD-systems technical objects are given by set of points or analytic surface representations. Often the faces of these objects are unfair. In this paper energy oriented algorithms are developed to approximate a set of points by fair surfaces or to smooth automatically given unfair surfaces. To get linear (and fast) algorithms in both cases quadratic models of the bending energy of surfaces are used. Minimal values of these energy models lead to smooth and fairshaped surfaces.

Suggested Citation

  • J. Hoschek & U. Dietz & J. Hadenfeld & C. G. Porta & Wahl, 1997. "Glätten von Flächen," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 359-370, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_30
    DOI: 10.1007/978-3-642-60550-5_30
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