PERSISTENCE BARCODED VEHICULAR TRAFFIC VIDEOS. A TOPOLOGY OF DATA APPROACH TO SHAPE TRACKING
Résumé
This paper introduces a computational CW topology of data approach to tracking the persistence of image object shapes that appear in trian-gulated video frames. Shapes are cell complexes are viewed in the context of an Alexandroff-Hopf-Whitehead CW (Closure finite Weak) topological space. Fermi energy and Betti numbers are used to construct persistence barcodes derived from nested cycles (optical vortexes) inherent in triangulated video frame shapes. An application of this approach is given in terms of Ghrist persistence barcoding of vehicular traffic videos.
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