Journal
CHAOS SOLITONS & FRACTALS
Volume 164, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.112722
Keywords
Divergence; Fractality; Self-similarity; Triangle cluster; Video frame; Voxel lumens flux
Categories
Funding
- Natural Sciences & Engineering Research Council of Canada (NSERC) [185986]
- Instituto Nazionale di Alta Matematica (INdAM) Francesco Severi, Italy
- Gruppo Nazionale per le Strutture Algebriche, Italy
- Geometriche e Loro Applicazioni, Italy [9 920160 000362, U 2016/000036]
- Scientific and Technological Research Council of Turkey (TUBITAK) Scientific Human Resources Development, Turkey (BIDEB) [2221-1059B211301223]
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This paper introduces the self-similarity of the minuscule positive and negative lumens flux of voxels in dominant moving objects in video frames and analyzes the self-similarity of voxel lumens flux and the fractal nature of maximal nucleus triangle clusters in triangulated video frames.
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.
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