Efficient Intersection of Surface Normals With Milling Tool Swept Volumes for Discrete Three-Axis NC Verification

[+] Author and Article Information
J. H. Oliver

Department of Mechanical Engineering, Iowa State University, Ames, IA 50011

J. Mech. Des 114(2), 283-287 (Jun 01, 1992) (5 pages) doi:10.1115/1.2916944 History: Received March 01, 1991; Online June 02, 2008


An efficient algorithm is presented for intersecting vectors with swept solids which represent three-axis numerically controlled (NC) milling tool motions. The intersection calculation proceeds in hierarchical steps through a series of progressively more exact definitions of the shape of the tool swept volume. At each step, results of intermediate calculations are used to determine whether intersection with an exact representation of the solid is possible and, if so, where and how the swept volume model must be refined for the next step. This structure ensures that superfluous intersection calculations are minimized. This intersection technique has been successfully implemented as part of an algorithm for automatic verification of three-axis NC milling programs, and may also be useful for applications in robotics and factory automation.

Copyright © 1992 by The American Society of Mechanical Engineers
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