Implementations of the technology disclosed convert captured motion from Cartesian/(x,y,z) space to Frenet-Serret frame space, apply one or more filters to the motion in Frenet-Serret space, and output data (for display or control) in a desired coordinate space—e.g., in a Cartesian/(x,y,z) reference frame. The output data can better represent a user's actual motion or intended motion.