Structural Property.

An MBIM displays clusters formed by the small group of high-energy clique families. The clusters are distributed in line with particular spatial structures with obvious correspondence to periodicity structure of related textures. Stochastic textures, like D4, D12, D24, and D66 in Fig 6.2, have only one dominant central cluster indicating that only short-range pixel interactions dominate these textures. In contrast, regular textures, like D6, D20, D52 and D76 in Fig 6.2, have also a number of prominent, peripheral clusters spatially distributed in a structured and repetitive manner, reflecting the underlying translation lattice of pixel interaction. As further illustrated in Fig 6.5, for regular texture D34, the spatial distribution of clusters in the MBIM is closely related to the periodicity structure appeared in the image.