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Self-similarities in optical flows

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  • Cui, Enze
  • Peters, James F.

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.

Suggested Citation

  • Cui, Enze & Peters, James F., 2022. "Self-similarities in optical flows," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009018
    DOI: 10.1016/j.chaos.2022.112722
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    References listed on IDEAS

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    1. Haider, Muhammad Shangol & Peters, James F., 2021. "Temporal proximities: Self-similar temporally close shapes," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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