On the Feasibilities of Using the Wavelet Analysis of Mueller Matrix Images of Biological Crystals

O V Dubolazov,A G Ushenko,A P Peresunko,O Ya Vanchulyak,V T Bachynsky

doi:10.1155/2010/162832

O V Dubolazov, A G Ushenko + Show 3 more

Open Access

https://doi.org/10.1155/2010/162832

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Abstract

The efficiency of using the statistical and fractal analyses for distributions of wavelet coefficients for Mueller matrix images of biological crystal networks inherent to human tissues is theoretically grounded in this work. The authors found interrelations between statistical moments and power spectra for distributions of wavelet coefficients as well as orientation-phase changes in networks of biological crystals. Also determined are the criteria for statistical and fractal diagnostics of changes in the birefringent structure of biological crystal network, which corresponds to pathological changes in tissues.

Highlights

Laser diagnostics aimed at the structure of biological tissues efficiently use the model approach [1], in accordance with the tissues that are considered as two components: amorphous {A} and optically anisotropic {F }
We considered the most spread case of pathological changes in BT architectonics—formation of directions for pathological growth or excrescence of a tumor
Using the statistical and correlation analysis of wavelet coefficients Wa,b in the expansion of the Mueller matrix elements, we have demonstrated the possibility to reveal the quasiharmonic component in distributions of orientation (ρ) and phase (δ) parameters in complex architectonic networks

Summary

Research Article

Optics and Spectroscopy Department, Chernivtsi National University, 2 Kotsyubinsky Str., 58012, Chernivtsi, Ukraine of Morbid Anatomy, Chernivtsi Medical University, 2 Theatral Sq, 58002, Chernivtsi, Ukraine. License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The efficiency of using the statistical and fractal analyses for distributions of wavelet coefficients for Mueller matrix images of biological crystal networks inherent to human tissues is theoretically grounded in this work. The authors found interrelations between statistical moments and power spectra for distributions of wavelet coefficients as well as orientation-phase changes in networks of biological crystals. Determined are the criteria for statistical and fractal diagnostics of changes in the birefringent structure of biological crystal network, which corresponds to pathological changes in tissues

Introduction

Real Biological Tissues