Algorithm Demo: Smoothing & Anti-Stretching

Kalman Filters and B-Spline Interpolation applied to 3D Sign Vectors

Without Algorithm

Raw coordinates. Stretching occurs when subject size changes. Jitter occurs from low FPS.

Raw Logic:


          // Absolute XY applied directly

          Arm_X = MediaPipe_X * CanvasWidth

          Arm_Y = MediaPipe_Y * CanvasHeight


          // Stretches Avatar completely!

          // Jitters wildly on packet loss.

Our EduSign Algorithm

Vector Normalization prevents stretching. Splines provide 100% smooth easing.

Kalman & Spline Logic:


          // 1. Vector Normalization

          v_dir = (Bone_End - Bone_Start).normalized()


          // 2. Kalman Filtering

          Est_State = Predict(Prev_State)

          Updated = Update(Est_State, New_Measurement)


          // 3. Easing (Spline Interpolation)

          Curr_Pos += (Target_Pos - Curr_Pos) * 0.15