基于增强现实的投篮轨迹分析与模拟

摘要

Shooting percentage is majorly determined by casting velocity and angle.The paper firstly according to Taylor of logarithm provides a new simple shooting trajectory model with air resistance;secondly it according to quadratic equation discriminant separately provides the shooting angles with the least power with or without air resistance,which has clear geometric meaning and is conductive to practical shoot guidance;finally the authors design a augmented reality system to guide athletes to shoot,for the convenience of them to adjust their casting velocity and angle according to virtual basketball trajectory and basket position.%投篮命中率主要由出手速度和角度决定。首先根据对数的泰勒展开式，给出在有空气阻力时一种新的简单投篮轨迹模型；其次，根据二次方程的判别式，分别给出在没有空气阻力和有空气阻力时最省力的投篮角度，其角度具有清晰明了的几何意义，有利于实际投篮的指导；最后，设计一个增强现实系统用来指导运动员进行投篮，方便运动员根据虚拟篮球轨迹和虚拟篮筐位置来调整自己的出手速度和出手角度。