Criminal Trajectory Reconstruction Method Based on a Mobile Reference System

Abstract Criminal trajectory reconstruction is a crucial area of study in the investigative and evidentiary processes of public security departments. This paper proposes a method for reconstructing criminal trajectories based on a mobile reference system, starting from sparse location data obtained from surveillance. The goal is to dynamically balance safety and danger perception anchor points, integrating travel distance to reconstruct trajectories that align with the anti-surveillance behavior of criminals. First, the characteristics of criminal movement are analyzed to construct a criminal mobile reference system, where the reference range constrains the potential scope of missing trajectories. Spatial elements influencing the trajectory are selected as anchor points. Based on this reference system, an improved heuristic algorithm balances anchor point transition probabilities and travel distance to identify the optimal sequence of anchor points, filling in the gaps between sparse location points. Experimental comparisons demonstrate that the proposed method reconstructs more accurate and reasonable criminal trajectories. The research provides theoretical support for public security investigations, analyzing criminal movement characteristics and using spatial points related to criminal travel to supplement missing trajectories, addressing gaps in criminal trajectory reconstruction research and contributing to the accurate reconstruction of criminal movement paths.