CUTTING PLOTTER, AND ITS CONTROL METHOD AND CONTROL PROGRAM

PROBLEM TO BE SOLVED: To provide a cutting plotter that performs cutting without causing displacement of a medium to be cut.SOLUTION: A control unit in a cutting plotter includes: a segment specification processing unit (15a) for finding a convex hull including a set of segments configuring a predetermined shape based on cut data, and specifying the segment having a vertex of the convex hull in an endpoint; a stack processing unit (15c) for stacking the set of segments specified every convex hull in a storage device (152), by repeatedly performing the processing for storing the set of segments having the vertex of the convex hull specified by this segment specification processing means in the endpoint in the storage device, and the processing for providing segment specific processing by the segment specification processing unit to the remaining set of segments obtained by removing the set of segments specified by the segment specification processing unit from the set of segments configuring the shape, to the set of segments configuring the predetermined shape until all segments are removed; and cutting action execution part (15d) means for cutting the medium to be cut by sequentially reading the set of segments specified every convex hull stored in the storage device from the set of segments stored finally.