Geometric Criteria for Gouge-Free Three-Axis Milling of Sculptured Surfaces

[+] Author and Article Information
H. Pottmann, J. Wallner

Institute of Geometry, Vienna University of Technology, A-1040 Wien, Austria

G. Glaeser

University of Applied Arts, A-1010 Wien, Austria

B. Ravani

Department of Mechanical Engineering, University of California Davis, Davis, CA 95616

J. Mech. Des 121(2), 241-248 (Jun 01, 1999) (8 pages) doi:10.1115/1.2829450 History: Received March 01, 1998; Revised January 01, 1999; Online December 11, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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