1 research outputs found
Spiral Complete Coverage Path Planning Based on Conformal Slit Mapping in Multi-connected Domains
Generating a smooth and shorter spiral complete coverage path in a
multi-connected domain is an important research area in robotic cavity
machining. Traditional spiral path planning methods in multi-connected domains
involve a subregion division procedure; a deformed spiral path is incorporated
within each subregion, and these paths within the subregions are interconnected
with bridges. In intricate domains with abundant voids and irregular
boundaries, the added subregion boundaries increase the path avoidance
requirements. This results in excessive bridging and necessitates longer
uneven-density spirals to achieve complete subregion coverage. Considering that
conformal slit mapping can transform multi-connected regions into regular disks
or annuluses without subregion division, this paper presents a novel spiral
complete coverage path planning method by conformal slit mapping. Firstly, a
slit mapping calculation technique is proposed for segmented cubic spline
boundaries with corners. Then, a spiral path spacing control method is
developed based on the maximum inscribed circle radius between adjacent
conformal slit mapping iso-parameters. Lastly, the spiral path is derived by
offsetting iso-parameters. The complexity and applicability of the proposed
method are comprehensively analyzed across various boundary scenarios.
Meanwhile, two cavities milling experiments are conducted to compare the new
method with conventional spiral complete coverage path methods. The comparation
indicate that the new path meets the requirement for complete coverage in
cavity machining while reducing path length and machining time by 12.70% and
12.34%, respectively.Comment: This article has not been formally published yet and may undergo
minor content change