<p>Damage detection in civil engineering is crucial for ensuring the safety and maintenance of infrastructure. This study introduces the development and implementation of innovative algorithms based on the Wavelet Transform (WT) for damage detection and localization in two-dimensional structures, integrated with the Boundary Element Method (BEM). The study conducts a detailed multiresolution analysis of displacement data using an academic computational package for modeling, meshing, and data acquisition. Key analyses include evaluating the effectiveness of different wavelet families in damage detection, assessing the impact of varying the Reference Line (RL) resolution from 19 to 9 points, and examining the trade-offs between computational efficiency and accuracy. The algorithms are validated on two beam typologies: fixed-free (cantilever) and fixed–fixed (double-clamped). The results demonstrate high accuracy in damage localization. The findings highlight the advantages of combining WT with BEM for structural monitoring, offering significant improvements over traditional methods. The paper concludes by discussing the potential for applying these techniques to a broader range of structures and damage scenarios, aiming to enhance the reliability and scope of structural health monitoring systems.</p>