I want to create a living hinge by laser cutting lines into MDF board. The problem I am experiencing is: When I flatten out my curved surface there is no indication of where the curved section starts and stops so I do not know where to make my cuts. I am also not sure if normal extrude cut and pattern is the best way to go about cutting the living hinge lines. 2ndly when I create the working drawing I want each cut to be a single laser pass not 3 or 4 passes per living hinge line (I dont want the laser to cut out a rectangle). any help would be appreciated.

Below is an example of the final product. I have attached my curved surfaces model just in case

Living Hinge in Wood - YouTube