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Vertices and Inflexions of Plane Sections of Surfaces in ℝ3

  • André Diatta
  • Peter Giblin
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We discuss the behavior of vertices and inflexions of one-parameter families of plane curves which include a singular member. These arise as sections of smooth surfaces by families of planes parallel to the tangent plane at a given point. We cover all the generic cases, namely elliptic, umbilic, hyperbolic, parabolic and cusp of Gauss points. This work is preliminary to an investigation of symmetry sets and medial axes for these families of curves, reported elsewhere.

Keywords

Isophote curve symmetry set medial axis skeleton vertex inflexion plane curve shape analysis 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • André Diatta
    • 1
  • Peter Giblin
    • 1
  1. 1.University of LiverpoolLiverpoolEngland

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