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Parametric G1-Blending of Several Surfaces

In: Computer Algebra in Scientific Computing CASC 2001

Author

Listed:
  • Sonia Pérez-Díaz

    (Universidad de Alcalá, Dpto de Matemáticas)

  • Rafael Sendra

    (Universidad de Alcalá, Dpto de Matemáticas)

Abstract

In this paper we present a symbolic algorithm for blending parametrically with G1-continuity a collection of rational surfaces with rational clipping intersections. The method provides a family of parametrizations that depends on a set of parameters, which number can be controlled in advance, and that can be used further in the modeling process. For this purpose, we introduce the notion of curves being in good position, that can always be assumed w.l.o.g., and we prove the main property of a set of rational curves in good position, that guarantees that the method always provides a correct solution.

Suggested Citation

  • Sonia Pérez-Díaz & Rafael Sendra, 2001. "Parametric G1-Blending of Several Surfaces," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC 2001, pages 445-459, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56666-0_34
    DOI: 10.1007/978-3-642-56666-0_34
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