Software for the problem of constructing cutting tool paths in CAD/CAM systems for technological preparation of cutting processes

Most of the research on tool paths for cutting machines focuses on determining the path for contour cutting. State-of-the-art, resource-efficient sheet metal cutting technologies allow one to match the contours of the cut parts, thus reducing material waste and minimizing the cut length. However, the alignment of the boundaries of the cut contours is the source of a number of constraints formalized in terms of plane graphs: (1) ordered enclosing, (2) nonintersecting cutting path. The article considers the main data structures and algorithms used in the CAD/CAM system developed for technological preparation of cutting processes, which allows cutting plans with combined contours, as well as software that constructs a homeomorphic image of a graph to solve the problem of routing according to the cutting plan, solves this problem, and interprets the solution results.