Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: April 1997
- Number: TR-186-2-97-10
- Keywords: G-Buffer, sweeps, solid modeling, NC-verification, NC-milling, computer aided manufacturing
Abstract
This paper presents an efficient and robust algorithm for
the geometric determination of swept volumes during the simulation of
NC-milling (three-axis machining and five-axis machining). The boundary Y
of the volume swept by a cutter F is represented polygonally by using
instantaneous helical motions to exactly determine the line of contact
between F and Y.
Applying concepts of differential geometry allows a better and more
efficient approximation of tool paths. Tool paths are explicitly calculated
when a design surface G is to be milled along prescribed curves.
We also describe how to quickly determine a polygonized representation of
the truncated material during the milling process by means of
'G-buffering'. This polygon-oriented algorithm is perfectly suitable for
Boolean subtractions and error assessment.
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BibTeX
@techreport{Glaeser-1997-EVG,
title = "Efficient Volume-Generation During the Simulation of
NC-Milling",
author = "Georg Glaeser and Eduard Gr\"{o}ller",
year = "1997",
abstract = "This paper presents an efficient and robust algorithm for
the geometric determination of swept volumes during the
simulation of NC-milling (three-axis machining and five-axis
machining). The boundary Y of the volume swept by a cutter F
is represented polygonally by using instantaneous helical
motions to exactly determine the line of contact between F
and Y. Applying concepts of differential geometry allows a
better and more efficient approximation of tool paths. Tool
paths are explicitly calculated when a design surface G is
to be milled along prescribed curves. We also describe how
to quickly determine a polygonized representation of the
truncated material during the milling process by means of
'G-buffering'. This polygon-oriented algorithm is perfectly
suitable for Boolean subtractions and error assessment.",
month = apr,
number = "TR-186-2-97-10",
address = "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
institution = "Institute of Computer Graphics and Algorithms, Vienna
University of Technology ",
note = "human contact: technical-report@cg.tuwien.ac.at",
keywords = "G-Buffer, sweeps, solid modeling, NC-verification,
NC-milling, computer aided manufacturing",
URL = "https://www.cg.tuwien.ac.at/research/publications/1997/Glaeser-1997-EVG/",
}