Self-similarities in optical flows

Enze Cui and James F. Peters

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: This paper introduces self-similarity inherent in the minuscule positive and negative lumens flux (lx) of voxels in dominant moving objects in the foreground of triangulated video frames. A voxel is a volume picture element in a video frame with coordinates that include an elapsed time component as well as the usual horizontal and vertical components. Persistent voxel self-similarities can be seen in the divergence of triangulated video frame voxel (lx) (spread of luminous brightness levels). The main results introduced in this paper include (1) inherent self-similarity in triangle clusters covering moving objects in the foreground of video frames, (2) self-similarities in voxel lumens flux in maximal nucleus triangle clusters (MNC), and (3) every triangulated video frame MNC is a fractal.

Keywords: Divergence; Fractality; Self-similarity; Triangle cluster; Video frame; Voxel lumens flux (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009018

DOI: 10.1016/j.chaos.2022.112722

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