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通过穆勒相干矩阵分析将偏振imetry群论应用于生物组织表征。

Application of polarimetry group theory for characterization of biological tissues via mueller coherency matrix analysis.

作者信息

Fanjul-Velez Felix, Ortega-Quijano Noe, Salas-Garcia Irene, Arce-Diego Jose L

机构信息

TEISA Department, University of Cantabria.

出版信息

Annu Int Conf IEEE Eng Med Biol Soc. 2009;2009:873-6. doi: 10.1109/IEMBS.2009.5334871.

DOI:10.1109/IEMBS.2009.5334871
PMID:19964941
Abstract

Optical characterization of biological tissues provides advantages like the non-invasive or non-contact characters, or an increased image resolution. The use of the polarization information, apart from the intensity, leads to new data for a better diagnosis. In this work, we use the Group Theory applied to polarimetry to analyse the polarization behaviour of samples. The SU(4)-O+(6) homomorphism allows us to obtain the Mueller Coherency matrix from the Mueller matrix, and applying the target decomposition theorem, which provides information on tissue structure and separates different polarization effects by means mainly of the eigenvalues and eigenvectors, tissue imaging contrast can be increased. The analysis is applied to glucose suspensions of polystyrene spheres of different concentrations, whose behaviour can be modelled by means of single or multiple scattering depending on the concentration, either in the Rayleigh or Mie regimes. The results could be applied to cell cultures, where cancerous cells grow without control, or even to some anemia pathologies, where the number of erythrocytes in blood decreases.

摘要

生物组织的光学表征具有诸如非侵入性或非接触性等优点,或者能提高图像分辨率。除强度信息外,利用偏振信息可获取新数据以实现更好的诊断。在这项工作中,我们运用群论应用于偏振测量来分析样品的偏振行为。SU(4)-O+(6)同态使我们能够从穆勒矩阵获得穆勒相干矩阵,并且应用目标分解定理,该定理主要通过特征值和特征向量提供有关组织结构的信息并分离不同的偏振效应,从而可以提高组织成像对比度。该分析应用于不同浓度的聚苯乙烯球体葡萄糖悬浮液,其行为可根据浓度在瑞利或米氏散射 regime 中通过单次或多次散射进行建模。这些结果可应用于癌细胞无控制生长的细胞培养,甚至可应用于血液中红细胞数量减少的某些贫血病症。

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