The edge–torus tangency problem in multipoint machining of triangulated surface models

  • Ravinder Kumar Duvedi
  • Sanjeev Bedi
  • Ajay Batish
  • Stephen Mann


This paper presents a method for computing the tangency between an edge and a torus. This tangency is used in positioning a toroidal tool on an edge that is part of a triangulated surface. This method is easier to implement and faster to execute than earlier solutions to this problem. The method was tested on a triangulated surface modeling a pyramid and on a triangulated tensor product Bézier patch.


Tool positioning Cutter location Radiused end milling cutter NC machining Edge–torus tangency 


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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  • Ravinder Kumar Duvedi
    • 1
  • Sanjeev Bedi
    • 2
  • Ajay Batish
    • 1
  • Stephen Mann
    • 2
  1. 1.Thapar UniversityPatialaIndia
  2. 2.University of WaterlooWaterlooCanada

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