Juan Rosete, & Dr. Cindy Wyels
This research presents a method for analyzing quasiperiodic videos by leveraging the principles of topological decoupling. By unraveling the intricate spatial patterns inherent in these videos, we appeal to persistent homology to identify and track persistent topological features over time. Our findings demonstrate the efficacy of topological decoupling in extracting meaningful spatiotemporal features,which can be harnessed for various applications including de-noising, anomaly detection, and video synthesis. This ork bridges the fields of topology and video processing, providing valuable insights into the nature of quasiperiodic phenomena and unlocking new avenues for interpreting and manipulating complex visual patterns. This research explores the behavior of oscillators within the video context. Specifically, the focus is on a video consisting of two oscillators that continuously move back and forth.This study not only enhances our understanding of the dynamical systems depicted in quasiperiodic videos but also paves the way for innovative approaches in video editing and motion control, offering promising implications for the field of computational video analysis.