篮球投篮姿势数学建模与统计学分析

发布时间：2018-05-30 17:41

本文选题：多元回归分析 + 投篮姿势　；参考：《湘潭大学自然科学学报》2017年03期

【摘要】：为了更好地提高投篮时的命中率,该文提出对投篮时的篮球的垂直高度、水平速度、垂直速度进行数学建模和统计学分析.首先,选取30名男生(年龄为18~23周岁)分为3组进行投篮实验,通过8个VICON Bonita光学运动捕捉摄像机和反射标记在120Hz时记录罚球过程,通过VICON Nexus 2.0软件分析该过程.根据3个级别投手的命中率和误差结果,进行不受控制的流形分析和回归分析确定投球任务中不同变量的相对重要性.分析结果表明,优秀的投手使用优势手时可以获得较高且稳定的命中率,优秀的投手通常喜欢用多样的投篮姿势,较差选手若能将球释放瞬间的速度控制在27.5m/s左右,命中率至少可提高7%,该结果为投手的技能培训提供了有力的帮助.
[Abstract]:In order to improve the shooting percentage, this paper puts forward the mathematical modeling and statistical analysis of the vertical height, horizontal speed and vertical velocity of basketball shooting. First, 30 male students (1823 years old) were divided into three groups for shooting experiment. The free throw process was recorded by 8 VICON Bonita optical motion capture cameras and reflection markers in 120Hz. The process was analyzed by VICON Nexus 2.0 software. According to the results of hit rate and error of three level pitchers, the relative importance of different variables in pitching task is determined by the analysis of uncontrolled manifold and regression analysis. The results show that a good pitcher can get a high and stable shooting rate when using a dominant hand, and a good pitcher usually likes to use a variety of shooting positions. If a poor player can control the speed of the ball at the moment of release in 27.5m/s or so, The hit rate can be increased by at least 7%, which provides a powerful help for the pitcher's skill training.
【作者单位】：钦州学院体育教学部;延安大学数学与计算机科学学院;
【基金】：国家自然科学基金项目(11471007)
【分类号】：G841;O212.1

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