In one aspect, the present invention relates to a
control unit (100) for providing control instructions (ci) for controlling a
laser cutting machine (L) by determining transition phases for converting different dynamic
laser beam shapes of the
laser cutting machine (L), wherein the
laser cutting machine (L) preferably comprises a dynamic laser
beam shaping module (DBSM) for dynamically changing the laser
beam shape. The
control unit (100) comprises: a
cutting plan interface (101) for receiving a cutting plan to be processed for cutting out parts of a workpiece, wherein each part is defined by a cutting profile comprising cutting segments sorted in a
queue; an assignment tool (102) configured to assign a specific dynamic laser
beam shape from a set of dynamic laser beam shapes to each cutting segment in the
queue of cutting segments according to predefined evaluation criteria; a transition tool (104) for determining the transition phases between every two consecutive specific dynamic laser beam shapes, wherein within a
transition time (t), a first specific dynamic laser
beam shape among two consecutive specific dynamic laser beam shapes is converted into a second specific dynamic laser beam shape among the two consecutive specific dynamic laser beam shapes; a processor (P) configured to iteratively access the assignment tool (102) for determining a specific dynamic laser beam shape for each cutting segment in the
queue of cutting segments, and wherein the processor (P) is further configured to access the transition tool (104) for determining all transition phases between every two consecutive specific dynamic laser beam shapes, and wherein the processor (P) is configured to provide control instructions (ci) for controlling the
laser cutting machine (L) for executing the received cutting plan by applying: 1. the specific dynamic laser beam shape determined by the assignment tool (102), and 2. the transition phases between every two consecutive specific dynamic laser beam shapes determined by the transition tool (104).