Research on dynamic path simulation and collision detection based on the isometric spiral motion model

Aiming at the traditional folk cultural activity "Bench Dragon" in Zhejiang and Fujian regions of China, this paper establishes an isometric spiral motion model and conducts an in-depth study on its dynamic path simulation and collision detection in the process of spiral entry. Firstly, the spiral motion model of the dragon dance team is established, and the positions and velocities of each part of the dragon dance team at different moments are accurately calculated by means of parametric equations and iterative algorithms. Secondly, the collision detection algorithm is established. The motion state of the dragon dance team is monitored in real time, and the relative speed and relative position changes between adjacent benches are calculated to determine whether there is a collision, so as to determine the termination moment of the dragon dance team's disc entry and give the speed and position information of the dragon dance team at this time. The experimental results show that the method proposed in this paper can effectively simulate the spiral motion trajectory of the dragon dance team and accurately detect the collision between the benches, so as to provide theoretical basis and technical support for the safety of the dragon dance team.