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Energy Distribution.

The vast majority of the clique families in the MBIM have low energies indicating almost independent pixels and only a small characteristic group with higher energies actually impacts upon the spatial pattern of the texture. Energy histograms in Fig 6.6 show the non-characteristic majority of the clique families form a dominant peak whereas a relatively small characteristic families form a high-energy "tail". The latter has to be separated from the dominant part in order to estimate $ \mathcal{N}$.

Figure 6.5: The spatial patterns in an MBIM are related to a underlying lattice of the periodicity structure of a texture. (a) Texture D06. (b) The MBIM for the texture. (c) Underlying lattice formed by the spatial distribution of characteristic clique families in the MBIM. (d) Superimpose the lattice over the original texture, showing that the lattice is in line with texture's periodicity structure.
\includegraphics[scale=0.9]{mbim-grid.eps}



dzho002 2006-02-22