A Direct Calculation of the Multifractal Spectra of Biomedical Items
One of the methods to obtain statistical characteristics of digital images is a so called multi-fractal formalism. The method is based on the assumption that most of images can be considered as phase portraits of complex dynamical systems and can be described by measure distributions. This distribution can be set using not one but several scales (measures). Multifractal formalism describes the statistical properties of the measure in terms of singular spectra or generalized dimensions. In this paper we investigate the possibility of applying the method of direct calculation of multifractal spectra to the analysis of certain classes of biomedical items’ images. This method offers an image partition on a especially constructed subsets and calculation of fractal dimensions for each of them. In some cases the method is more preferable than the calculation of generalized dimensions.