Geometric criteria for gouge-free three-axis iviilling of sculptured surfaces

H. Pottmann, J. Wallner, G. Glaeser, B. Ravani

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


The paper presents a geometric investigation of collision-free 3-axis milling of surfaces. We consider surfaces with a global shape condition: they shall be interpretable as the graphs of bivariate functions or shall be star-shaped with respect to a point. If those surfaces satisfy a local millability criterion involving curvature information, it is proved that this implies globally gouge-free milling. The proofs are based on general offset surfaces. The results can be applied to tool-motion planning and the computation of optimal cutter shapes.

Original languageEnglish (US)
Pages (from-to)241-248
Number of pages8
JournalJournal of Mechanical Design, Transactions Of the ASME
Issue number2
StatePublished - Jun 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design


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