Abstract: 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.

Abstract: Embodiments of display control based on dynamic user interactions generally include capturing a plurality of temporally sequential images of the user, or a body part or other control object manipulated by the user, and computationally analyzing the images to recognize a gesture performed by the user. In some embodiments, a scale indicative of an actual gesture distance traversed in performance of the gesture is identified, and a movement or action is displayed on the device based, at least in part, on a ratio between the identified scale and the scale of the displayed movement. In some embodiments, a degree of completion of the recognized gesture is determined, and the display contents are modified in accordance therewith. In some embodiments, a dominant gesture is computationally determined from among a plurality of user gestures, and an action displayed on the device is based on the dominant gesture.