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Offsetting Revolution Surfaces

  • Fernando San Segundo
  • J. Rafael Sendra
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6301)

Abstract

In this paper, first, we provide a resultant-based implicitization method for revolution surfaces, generated by non necessarily rational curves. Secondly, we analyze the offsetting problem for revolution surfaces, proving that the offsetting and the revolution constructions are commutative. Finally, as a consequence of this, the (total and partial) degree formulas for the generic offset to an irreducible plane curve, given in our previous papers, are extended to the case of offsets to surfaces of revolution.

Keywords

offset revolution surface implicit equation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Fernando San Segundo
    • 1
  • J. Rafael Sendra
    • 1
  1. 1.Depto. de MatemáticasUniversidad de AlcaláMadridSpain

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