Systems and methods for facilitating accessible virtual education

A method, comprising,

• generating an expert reach set for a gesture as performed by a tutor wherein the expert reach set defines correctness for transient movement dynamics and hand shape for the gesture;
• receiving a video feed of a user performing the gesture;
• converting the gesture as performed by the user into a spatio-temporal evolution of continuous variables by:
• generating an X and Y coordinate time series, wherein the positional X and Y coordinate time series is representative of positions of a right wrist and a left wrist of the user;
• and
• extracting a hand shape of the user;
• and
• determining a deviation of the gesture as performed by the user from the expert reach set for the gesture;
• and
• providing correctness feedback to the user based on the deviation of the gesture as performed by the user from the expert reach set for the gesture,
• wherein the expert reach set is a set of continuous states observed from simulating a hybrid system representative of the gesture over time for a bounded set of initial conditions
• wherein the hybrid system is determined by:
• segmenting the gesture as captured by the video feed of the user into a plurality of discrete modes:
• clustering each mode of the plurality of discrete modes in accordance with their respective triggering mechanism;
• obtaining one or more kinematic equations representative of the gesture by:
• processing the gesture data using a multi-variate polynomial regression model or Fisher Information with Cramer Rao bound to obtain a set of flow parameters representative of mode transitions;
• and
• clustering the gesture data using a density based approach to the set of flow parameters for each mode of the plurality of modes;
• and
• deriving guard conditions for each cluster of the gesture.