- Vertex rotation cumulative judgment
Define the vertex direction of the vertices as the cross product of the two vectors adjacent to the vertex. For any flat pattern, the machining direction is related to the vortex direction of each vertex. If the number of vertices with positive rotation is more than the number of negative vertices, the machining direction is positive: vice versa. It can be verified that this method is valid for any flat graphic. However, when the number of vertices is large, the amount of calculation is large. - Pole discrimination
Define the pole of the polygon as the vertex with the smallest x coordinate. The machining closed loop direction can be obtained by judging the direction of the pole. Specifically, first select the pole and the adjacent two vectors in the double-linked list (if there are multiple poles, choose one) and calculate the cross product. The cross product is positive and the machining direction is positive (counterclockwise): otherwise the machining direction is negative (clockwise). The pole discrimination method is independent of the number of polygon vertices, so the amount of calculation is small.
3 Tool track calculation
Based on the previously determined machining direction, the tool path can be calculated. Dr work tool radius is set, unilateral discharge gap is d, the shift amount of the tool center ENGINEERING b = d + r.
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