Estimation of Rebound Position in Basketball

Abstract

Basketball rebound regions are estimated using a dynamic model for short-, medium-, and long-range direct and bank shots and with previously measured standard deviations of release velocity and angle. The model includes basketball stiffness and damping, and contains flight and ball-contact sub-models. The deterministic simulations, together with random Gaussian probability density functions for release velocity, angle and lateral deviation angle, analyze ball trajectories from different shot positions. The results instruct likely rebounding positions. Angled direct and bank shots from the same release position usually have two high-probability rebound positions, one on the same side as and one on the opposite side from the shooter. The highest probability rebound position is typically in or near the optimal shot path plane for capture. Rebound positions from skilled player's shots are usually more predictable.