Research on Motion Path Optimization Based on Iterative Method and Geometric Reasoning

This paper explores the complex trajectories of objects by constructing a motion path analysis model based on iterative method and geometric reasoning. This paper takes a traditional performance "Bench Dragon" dragon dance performance as an example, and conducts an in-depth study on the dynamic motion and spatial layout of the dragon body during the movement process by constructing a motion path analysis model. The model utilizes the spiral trajectory to represent the motion path of the dragon head, and combines with the iterative method to calculate the precise positions of the dragon body and the dragon tail at different time points. On this basis, this paper further discusses how to ensure that the object can efficiently and safely complete the coiling-in, coiling-out and head-turning movements in a narrow space, and analyzes key issues such as the minimum pitch and the design of the head-turning curve. The study uses MATLAB and other tools for numerical simulation and analysis to obtain the position and speed information of each part of the dragon dance team at different points in time, which provides theoretical support and practical guidance for the study of the scientific planning and optimization of the complex activities of the object.