Optimal Design Problem of Dragon Dance Team Path Based on Rotation Matrix

Abstract

In this paper, an accurate collision detection method is proposed for the collision problem during the traveling of the traditional event - Bench Dragon Dance Team. It needs to consider the collision problem when the Bench Dragons are traveling, but the existing literature has not provided an effective detection means for this specific model. Through geometric analysis, this paper reveals the mechanism of collision occurrence, models the dragon body approximately as a rectangle, and utilizes the rotation matrix transformation for collision detection. In order to further improve the detection accuracy, this paper adopts an iterative search algorithm to optimize and calibrate the model. This paper analyzes the critical termination moment, at this moment, the Dragon Dance Team cannot continue coiling along the isometric spiral. With this model, collisions among the benches can be accurately predicted and avoided. Eventually, when the time t = 566.2 s, the Dragon Dance Team's coiling-in maneuver is completed, and no collision occurs between the benches, at which time the coordinates of the dragon's head position are (0.01, -3.42). The model proposed in this paper effectively solves the collision problem during the traveling process of the bench dragon, and provides a scientific collision detection method for similar scenarios.