Self-similarities in optical flows: Voxel lumens flux fractality in moving shapes in triangulated video frames

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.