Fractal-Dimension-Based Walking Trajectory Analysis: A Case Study in Museum J. Armand Bombardier

A comprehensive understanding of the randomness, arbitrariness, and complexity of the visitors’ behavior and interaction in a museum is important because it is associated with the design. There is still uncertainty about how to characterize the visitors’ behavior and interaction. The fractal dimension was used in this study to indicate the geometrical form of the aged’s, the families’, and the students’ walking trajectories. The study results represented that all three sorts of the walking trajectory fractal-dimension-time curves fluctuated in the early stage. A remarkable exponential converges could then be observed. The mean fractal dimension after the convergence of the aged’s, the families’, and the students’ walking trajectory was nearly 1.8, 1.6, and 1.2, respectively. Furthermore, the behavior characteristics of these three sorts of visitors were quantified and the reasons were speculated and inferred. The comprehensive consideration of fractal geometry can aid in visitors’ behavior modeling and museum design.