2. Theoretical Fundamentals: Surface Finishing ProcessesCurrently there are a number of manufacturing processes for the production of workpieces with appropriate surface quality. The demands on the surface quality of the workpiece are widely varied. Especially in the medical and food industry, a high surface quality is required by the standard DIN 10528 [21]. In addition to mechanical finishing methods such as milling, lapping or polishing grinding, electrolytic processing methods (electrically abrasive processes) have proven to be advantageous when it comes to objects with complex geometrical shape. The processing of inner pipe surfaces with mechanical or optical finishing methods is either not possible or only possible with a high expenditure of time and costs. The choice of the particular processing method has a significant impact on the expected surface quality. Average roughness values Ra corresponding to various technical surface processing methods have been summarized in the standards ISO 4287 [22] and ISO 12085 [23].