Reverse Engineering Algorithm for Cutting of Ruled Geometries by Wire

Anthony T.H. Beaucamp, Yoshimi Takeuchi

Research output: Contribution to journalArticlepeer-review


Abrasive wire cutting (AWC) and wire electric discharge machining (WEDM) are efficient and econom-ical processes for the fabrication of precision parts from bulk material. Operating costs and manufacturing lead times are low compared to more general methods such as 5-axis CNC milling, turning, or electro-discharge machining. In this paper, an algorithm based on differential geometry in Euclidean space is proposed for reverse engineering of ruled geometries. The algorithm can determine whether a given geometry is producible by wire cutting, and can also de-rive the associated wire trajectories. Implementation is demonstrated by producing complex turbine blade geometries on 4-axis wire cutting machines with an overall shape accuracy of 20–40 μm peak-to-valley.

Original languageEnglish
Pages (from-to)349-355
Number of pages7
JournalInternational Journal of Automation Technology
Issue number3
Publication statusPublished - 2022 May
Externally publishedYes


  • differential geometry
  • reverse engineering
  • ruled geometries
  • wire cutting

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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