Skilled strategies of release parameters for accurate free-throw shooting in the presence of motor noise

How humans execute accurate movement in the presence of motor noise is a key problem in the field of biomechanics and motor control that limits the performance improvement in daily or sporting activities. The aim of this study was to clarify the strategy of basketball players during free-throw shooting. Two possible hypotheses were examined: the players minimize the release speed to decrease signal-dependent noise or the players maximize the shot success probability by accounting for their variability. Eight collegiate players and one professional player participated in this study by attempting shots from the free-throw line using a motion capture system. The solution manifold consisting of ball parameters at release was calculated and the optimal strategy was simulated by considering ball parameter variability; this result was compared with the actual data. Our results showed that participants selected the solution of near-minimum release speed. The deviation of the measured release angle from the minimum-speed angle was close to zero (2.8 {+/-} 3.1{degrees}). However, an increase in speed-dependent noise did not have a significant influence on the ball landing position through simulation. Additionally, the effect of release angle error on the ball landing position was minimum when using the minimum speed strategy. Therefore, the players minimize the release speed to minimize the effect of the release error on performance, instead of minimizing the speed-dependent noise itself. In other words, the strategy is \"near-minimum-speed strategy\" as well as \"minimum-error-propagation strategy\". These findings will be important for understanding how sports experts deal with intrinsic noise to improve performance.