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

Helmut Pottmann*, Johannes Wallner, Georg Glaeser, Bahram Ravani

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 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 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)
Title of host publication25th Biennial Mechanisms Conference
PublisherThe American Society of Mechanical Engineers(ASME)
ISBN (Electronic)9780791880302
StatePublished - 1998
EventASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States
Duration: Sep 13 1998Sep 16 1998

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1998 Design Engineering Technical Conferences, DETC 1998
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation


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