Numerically Controlled Workpiece Processing Apparatuses and Related Methods

A method of processing structurally identical workpieces using a numerically controlled workpiece processing apparatus includes processing a first workpiece according to a first desired tool path specified for a tool of the numerically controlled workpiece processing apparatus by closed-loop controlling a working distance between the tool and the workpiece to achieve a defined desired distance, such that when processing the first workpiece, the tool is moved along a distance-controlled actual tool path. The method further includes optimizing the first desired tool path for a second workpiece based on the distance-controlled actual tool path of the first workpiece to provide a second desired tool path and processing the second workpiece according to the second desired tool path.