Statistic and Fractal Processing of Human Biological Fluids Phase-Inhomogeneous Images

Abstract

Performed in this work are complex statistic and fractal analyses of phase properties inherent to birefringence networks of optically thin layers prepared from human bile. Within the framework of a statistic approach, the authors have investigated values and ranges for changes of statistic moments of the 1- st to the 4-th orders that characterize coordinate distributions for phase shifts between orthogonal components of amplitudes inherent to laser radiation transformed by human bile with various pathologies. The correlation criteria for differentiation of phase maps describing pathologically changed liquid-crystal networks are determined. In the framework of the fractal approach, determined are dimensions of self-similar coordinate phase distributions as well as features of transformation of logarithmic dependences for power spectra of these distributions for various types of human pathologies.