Information Technologies in Biomedicine

Abstract

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Multifractal breakage pattern of tortilla chips as related to moisture content

“…As presented above, the breakage pattern at high moisture contents (above 5%) had an orifice shape. Therefore, these samples did not show multifractal nature (Stach and Cybo, 2003) and single box-counting fractal dimension was enough to describe the geometry of the breaking pattern for these cases.…”

“…D(q, r) is the spectrum of fractal dimensions for a given set of fractal dimensions (Stach and Cybo, 2003):…”

“…Multifractal sets can be characterised on the basis of a generalised fractal dimension (D q ) where q is a parameter for exploring different regions of the singular measurement and is any number within À1 to +1 (Stach and Cybo, 2003). D(q, r) is the spectrum of fractal dimensions for a given set of fractal dimensions (Stach and Cybo, 2003):…”

“…A multifractal object is described by multiple characteristic fractal dimensions (Stach and Cybo, 2003). The obtained trend of the multifractal behaviour was derived from the amount of q-values for the generalised fractal dimensions presented in Table 2 (D 0 , D 1 , D 2 , D 3 ) which were required to describe the self-similitude spectra (Mendoza et al, 2010).…”

“…Then, the fractal dimensions of the subset f(q, r) are determined as follows (Stach and Cybo, 2003):…”