Forming of contour-parallel lines family with the detection of their non-working sections

Abstract

Abstract The paper considers family of working contour-parallel lines formation used in the design of the toolpath that processes pocket surfaces. Contour-parallel working lines are the ones from which the lines-noises, i.e. non-working sections, are removed. Non-working sections include self-intersection loops and intersections of oncoming fronts in the case of multiply-connected domains. The spatial geometric model of forming contour-parallel lines is based on the cyclographic mapping. As a tool for detecting non-working sections for the case of oncoming fronts, the method of a testing ray is proposed. In case of self-intersections of contour-parallel lines, non-working sections are cut off by the parameter of these lines at the points of self-intersection. At the output of the proposed shaping algorithm of the working contour-parallel lines family, the parametric equations of these lines are formed. The algorithm successfully works for multiply-connected domains with polygonal and curved contours of the boundaries of the domain and islands in it. A comparative evaluation of the proposed method of forming a contour-parallel lines family with trimming non-working sections and the known methods that use the distance function is performed.