Increasing the output of a processing machine should often be achieved by increasing the machine's operating speed. Associated with the increasing operating speed are undesirable effects occurring on the machine or process, e.g. vibrations that limit the operating speed. This paper discusses some selected causes for limitations that may occur on processing machines. An already developed approach to dealing with the problems is shortly presented. It is discussed why it is effective in some processes but not in others. Consequently, the existing approach is extended by an adaptive interpolation approach that deals with the changing operating speed. This extension has the effect that the advantages of the new approach can be applied to processes that have been insufficiently supported so far. With this approach, the calculation effort for motion optimization and path preparation can be reduced. The resulting amount of data decreases significantly as well. Eventually, the advantages of the novel interpolation approach are demonstrated by a process simulation with a validated numerical model.