Optimal strategies for throwing accurately
Optimal strategies for throwing accurately
复制标题
准确投掷的最佳策略
DOI：
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发表时间：
2010
影响因子：
3.5
通讯作者：
L. Mahadevan
中科院分区：
文献类型：
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作者：
M. Venkadesan;L. Mahadevan
在比赛和体育运动中，投掷的准确性取决于投掷的动力学如何传播规划和初始条件中的错误。在最简单的设置中，弹丸路径通常由确定性抛物线弹道描述，该弹道有可能放大噪声发射条件。通过分析抛物线轨迹如何传播误差，我们展示了如何为要求精度的投掷任务设计最佳策略。我们的计算解释了观察到的速度和精确度之间的权衡，上臂和下臂的首选投掷风格，以及飞镖等游戏的策略，尽管我们忽略了大多数生物复杂性。由于我们的最佳表现标准取决于目标的位置、形状和规划中的不确定性程度，他们自然也提出了一种迭代方案，通过反复试验来学习投掷策略。
The accuracy of throwing in games and sports is governed by how errors in planning and initial conditions are propagated by the dynamics of the projectile. In the simplest setting, the projectile path is typically described by a deterministic parabolic trajectory which has the potential to amplify noisy launch conditions. By analysing how parabolic trajectories propagate errors, we show how to devise optimal strategies for a throwing task demanding accuracy. Our calculations explain observed speed–accuracy trade-offs, preferred throwing style of overarm versus underarm, and strategies for games such as dart throwing, despite having left out most biological complexities. As our criteria for optimal performance depend on the target location, shape and the level of uncertainty in planning, they also naturally suggest an iterative scheme to learn throwing strategies by trial and error.