Optimization of Benching Dragon Motion Trajectory Based on Area Collision Detection and Trust Region Method

Qiaoya Zhang; Yakai He; Tianyu Wang

doi:10.54097/kxpyw314

Authors

Qiaoya Zhang
Yakai He
Tianyu Wang

DOI:

https://doi.org/10.54097/kxpyw314

Keywords:

Area collision detection, Trust region algorithm, Isometric spirals.

Abstract

"Dragon on Benches" constitutes an activity entailing the end-to-end connection of multiple benches to shape a sinuous and tortuous dragon-like structure. This activity not merely exhibits rich cultural connotations but also accentuates the skills and aesthetic aspects of the performance. In this paper, the study proposes zero in on the collision prediction during the movement of the Dragon on Benches. A collision detection model founded on the area method is put forward ,and ascertain that the terminal time of the dragon's entry into the helix is 432.18 seconds. Under the given pitch condition, a minimum path model is built and the trust-region algorithm is employed to optimize the turning path. The shortest turning path fulfilling all geometric conditions is discovered to be 13.6212 cm. The research outcomes not only enrich the cultural connotations of the movement of the Dragon on Benches but also offer a novel perspective for collision prediction and path optimization in similar dynamic structures.

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