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Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces

Author

Listed:
  • Leonardo Fernández-Jambrina

    (Matemática e Informática Aplicadas, E.T.S.I. Navales, Universidad Politécnica de Madrid, Avenida de la Memoria 4, E-28040 Madrid, Spain)

Abstract

In this paper, we make use of an inverse formula that relates the blossom of a NURBS curve, surface or Bézier triangle with its parametrisation, with no explicit reference to the control points and weights of the parametrisation. We make use of this inverse formula to raise and lower the degree elevation and reduction.

Suggested Citation

  • Leonardo Fernández-Jambrina, 2024. "Inverse Relations for Blossoms and Parametrisations of Rational Curves and Surfaces," Mathematics, MDPI, vol. 12(18), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2841-:d:1477066
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