Vector motion processing using spectral windows

This article describes a procedure for creating smooth and efficient transition motion between arbitrary vectors. Simple linear manipulations permit the functions, known as spectral windows, to be applied to this problem. Spectral windows are a highly developed technique from digital signal processing and provide a rich source of potentially useful waveforms. We describe the application of spectral windows to the generalized problem of vector motion preprocessing. The goal is to control the characteristics of the transition between vectors using the established techniques of spectral windows. A selective group of potentially useful spectral windows is examined, with particular attention to their characteristics for motion control. Finally, to demonstrate the advantage of spectral windows, a specific case involving rapid stepping of a laser beam is investigated