On using escort distributions in digital image analysis

Methods of digital image analysis find wide application both in scientific research and many branches industry. During the last decades, interest has grown images with multifractal structure which are obtained biology, medicine, chemistry studying soil. The mathematics fractals fractal geometry well known studied. However, despite this, a common approach to designing methods practical investigation such not been developed until now. main purpose this work is propose using formalism as mathematical tool for statistical description sets. Such adequately depicts chaotic behavior majority real systems. method calculation Rényi singularity spectra based on parametrized spectra, from escort (zooming) distributions an initial measure, considered. comparing vectors divergences calculated sequence proposed. role approximation any part spectrum substantiated. An estimation rate growth divergence vector obtained. Main theoretical results confirmed by numerical experiments biomedical preparations. These show ability implemented subtle distinctions simple choice measure.