A cutting device (5, 5′) for longitudinally cutting a width of continuously conveyed material (10) and for cutting at least one strip (11) into a variable longitudinal profile (12) having an irregular sequence, the cutting device (5, 5′) comprising:
- at least a first pair of cutting tools (60, 60′) which cooperate with at least one counter-piece (70, 70′) disposed perpendicular to a direction at which the width of material (10) is conveyed;
- at least one frame (50) on which the first pair of cutting tools (60, 60′) are supported to be movable along an axis of translation (B) that extends parallel to the counter-piece (70, 70′) for modifying an interval between each of the first pair of cutting tools (60, 60′) and along an axis of rotation (A) that is perpendicular to the counter-piece (70, 70′) for modifying a cutting angle;
- each of the first pair of cutting tools (60, 60′) is connected to a translational drive mechanism (90) and a rotational drive mechanism (80), each of which are controlled in combination by at least one central processing unit, depending on a cutting line having the variable longitudinal profile (12), in a predetermined and controlled irregular sequence.