Collision-free 3-axis milling and selection of cutting tools

Georg Glaeser, Johannes Wallner, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


This article deals with local and global conditions for collision-free 3-axis milling of sculptured surfaces and the selection of cutting tools for a given surface. We describe local and global millability results, the proof of which were published in a previous article. The theoretical background involves general offset surfaces. We present an algorithm here which, after evaluation of surface curvature, yields a differential inequality for the meridian curve of the cutting tool. This inequality is fulfilled if and only if the cutting tool is able to mill the entire surface. Besides this inequality, the optimal selection (or even design) of cutting tools involves a consideration of further characteristics, such as shape and size.

Original languageEnglish (US)
Pages (from-to)225-232
Number of pages8
JournalCAD Computer Aided Design
Issue number3
StatePublished - Mar 1999
Externally publishedYes

ASJC Scopus subject areas

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


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