Locally optimal cutting positions for 5-axis sculptured surface machining

Joung Hahn Yoon, Helmut Pottmann, Yuan Shin Lee

Research output: Contribution to journalArticlepeer-review

105 Scopus citations


The paper presents a local condition for collision-free 5-axis milling of sculptured surfaces. We consider cutter positions, which guarantee local gouging avoidance. This can replace concepts such as 'cutting profile' or 'effective cutting shape' which are of approximate nature. Based on second order approximations of the machined strip width, we also present locally optimal cutting positions for cutting directions.

Original languageEnglish (US)
Pages (from-to)69-81
Number of pages13
JournalCAD Computer Aided Design
Issue number1
StatePublished - Jan 1 2003


  • Dupin indicatrix
  • Local millability
  • Machined strip width

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering


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