Laser cutting machine control method and device, computer equipment and storage medium

The invention relates to a laser cutting machine control method and device, computer equipment and a storage medium. The laser cutting machine control method comprises the steps of 1, drafting; 2, drawing; 3, carrying out cutting following; 4, replacing; 5, changing; and 6, outputting. In the step 1, the drafting steps is used for calling information input from the outside and generating a cuttingprofile diagram; in the step 2, the drawing step is used for calling the cutting profile diagram and drawing an advancing route on the cutting profile diagram, wherein the advancing route comprises acutting-off route used for controlling a laser machining head to conduct cutting and a moving route used for controlling the laser machining head to move; in the step 3, the cutting following step isused for responding to the position of the laser machining head in real time and drawing a cut route on the cutting profile diagram; in the step 4, the replacing step is used for responding to a change profile input from the o