Study on the dynamic path of dragon dance team based on spiral line and optimization model

This paper investigates the problem of dynamic path planning and speed control in dragon dance performances. The existing path planning for dragon dance performances largely relies on experience, and research on automated path planning is relatively limited, especially in complex environments involving path optimization and collision avoidance. To address this, the paper proposes a geometry-based path planning algorithm to achieve dynamic path optimization for the dragon dance team. First, a limit cycle model is constructed based on a spiral curve to design the movement trajectory of the dragon dance team. The odeint function is used to numerically solve this model, generating the team's dynamic path. By analyzing the path variation within 300 seconds from the starting point with the dragon head handle moving at a speed of 1 meter per second, the team's dynamic position and speed control were optimized, and the termination time and position to avoid collisions were determined. Subsequently, a new path-turning algorithm was designed to calculate the optimal path when transitioning from a planar path to a circular area with a diameter of 9 meters, and the minimum pitch required during the turn was optimized. This study provides theoretical foundations and algorithmic support for automating path planning in dragon dance performances, offering promising application prospects.