This disclosure relates to method and system for optimally fitting shapes in a 2-Dimensional (2D) sheet. The method includes receiving discretized geometric data corresponding to a 2D shape; generating a pair of copies of the 2D shape including a first copy and a second copy using the discretized geometric data; determining an optimal arrangement of the first copy and the second copy on the 2D sheet to obtain an optimally arranged pair; generating first copy of the optimally arranged pair and second copy of the optimally arranged pair; determining a pair combination with a minimum distance between the first copy and the second copy; calculating a maximum number of repetitions possible for the pair combination on the 2D sheet based on sheet dimensions and a set of pair combination parameters; and identifying an optimal pair combination from a plurality of pair combinations based on the maximum number of repetitions.

The invention relates to a method (100) for orientation of a workpiece (20) to be processed, comprising the steps of: a) providing a processing path (27) fixed on the workpiece for processing the workpiece (20); b) selecting a rigid transformation (30) of the positioning of the workpiece (20); c) simulating the processing path (27) taking account of the rigid transformation (30) of the positioning of the workpiece (20); d) determining at least one process variable (40) of the machining of the workpiece (20); wherein the steps b) to d) are repeated by modifying the at least one rigid transformation (30) of the positioning of the workpiece (20) until the at least one process variable (40) reaches a target value (43).

The invention relates to a method (100) for orientation of a workpiece (20) to be processed, comprising the steps of: a) providing a processing path (27) fixed on the workpiece for processing the workpiece (20); b) selecting a rigid transformation (30) of the positioning of the workpiece (20); c) simulating the processing path (27) taking account of the rigid transformation (30) of the positioning of the workpiece (20); d) determining at least one process variable (40) of the machining of the workpiece (20); wherein the steps b) to d) are repeated by modifying the at least one rigid transformation (30) of the positioning of the workpiece (20) until the at least one process variable (40) reaches a target value (43).

A system and a method for optimizing a rotational orientation of a cylindrical workpiece for a shaping process. The system having a first scanner configured to perform a first scan of the workpiece. A processor configured to perform a first optimization using data from the first scan to determine a first amount of rotation. A turning mechanism configured to perform a first rotation of the workpiece. A second scanner configured to perform a second scan of the workpiece after the first rotation. The processor further configured to determine a second actual rotational orientation of the workpiece using the data from first scan and data from the second scan, to perform a second optimization using the data from first scan to determine a second amount of rotation. The turning mechanism further configured to perform a second rotation of the workpiece by the second amount of rotation.