W. Li, R. R. Martin, F. C. Langbein
Submitted.
In region machining, the tool path is constrained to lie within specific regions whose boundaries are often determined in the form of approximate piecewise linear curves on the cutter location surface. We present a strategy to improve the topology and geometry of such boundary curves, allowing the generation of better tool paths, and in turn, reduced machining time and improved tool wear.
Neighbouring regions may be close together, but disconnected. Boundary curves may also have unwanted geometric artifacts caused by approximation and discretisation issues during their generation, or because of underlying surface artifacts, or complexity of surface geometry. Connecting regions and smoothing curves can improve the boundary quality.
We make such improvements using three steps: firstly, disconnected regions are merged where appropriate, using a method based on morphological operations. Secondly, boundary segments with undesirable geometric properties are identified and replaced by simpler segments, using a vertex deletion operation. Finally, flaws at a smaller geometric scale are removed, using a curve shortening algorithm. Experimental results are given to illustrate our algorithm.
@UNPUBLISHED{LiXXXX,
author = {Weishi Li and Ralph R Martin and Frank C Langbein},
title = {Improving the Quality of Machining Boundaries on Cutter
Location Surfaces},
abtract = {In region machining, the tool path is constrained to
lie within specific regions whose boundaries are often
determined in the form of approximate piecewise linear
curves on the cutter location surface. We present a
strategy to improve the topology and geometry of such
boundary curves, allowing the generation of better
tool paths, and in turn, reduced machining time and
improved tool wear. Neighbouring regions may be close
together, but disconnected. Boundary curves may also
have unwanted geometric artifacts caused by
approximation and discretisation issues during their
generation, or because of underlying surface
artifacts, or complexity of surface geometry.
Connecting regions and smoothing curves can improve
the boundary quality. We make such improvements using
three steps: firstly, disconnected regions are merged
where appropriate, using a method based on
morphological operations. Secondly, boundary segments
with undesirable geometric properties are identified
and replaced by simpler segments, using a vertex
deletion operation. Finally, flaws at a smaller
geometric scale are removed, using a curve shortening
algorithm. Experimental results are given to
illustrate our algorithm.},
}
Improving the Quality of Machining Boundaries on Cutter Location Surfaces,http://www.langbein.org/research/manifolds/smoothing/boundary-smoothing by Frank C Langbein [17/March/2009, 19:07].
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