Professor of Mechanical and Biomedical Engineering, George Fox University, Newberg, OR, USA.
NBA Shooting Coach, CDL Basketball Enterprises, Calgary, AB, Canada.
J Sports Sci. 2024 Nov;42(21):2052-2060. doi: 10.1080/02640414.2024.2422735. Epub 2024 Nov 2.
During the shooting motion of a basketball, the path of the ball from the beginning of the lift to release follows an S-shaped trajectory. This study is the first to investigate how two distinctive features of the S-shaped ball path, the maximum curvature, κ, and terminal curvature, σ, are associated with longitudinal accuracy. The sagittal plane ball path and curvature were found using Bezier curves for 31 professional male basketball athletes. Terminal release curvature had a very strong positive correlation to intra-individual release velocity standard deviation ( = 0.73, < 0.001) indicating that shooters with straighter terminal ball paths had better longitudinal shooting accuracy. It was also observed that κ coincided with the transition to the forward shooting motion and that players with higher κ tend to have a clear two-part shooting style rather than a single fluid motion. A comparison between groups of good and poor shooters identified a mean difference in κ of 7.9 m ( < 0.001, 95% CI: 11.8-4.0 m) suggesting that good shooters typically have a higher κ than poor shooters.
在篮球投篮动作中，球从提升到释放的路径遵循 S 形轨迹。本研究首次探讨了 S 形球路径的两个独特特征，即最大曲率 κ 和末端曲率 σ，如何与纵向准确性相关。使用 Bezier 曲线对 31 名职业男性篮球运动员的矢状面球路径和曲率进行了研究。末端释放曲率与个体内释放速度标准差呈极强正相关（ = 0.73， < 0.001），表明末端球路径更直的投篮者具有更好的纵向投篮准确性。还观察到 κ 与向前投篮动作的转变相吻合，并且 κ 值较高的运动员倾向于具有清晰的两部分投篮风格，而不是单一的流畅动作。对优秀和较差投篮者的分组比较发现，κ 的平均值差异为 7.9 m（ < 0.001，95%CI：11.8-4.0 m），这表明优秀投篮者通常具有比较差投篮者更高的 κ 值。
