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Estimating spectral models for multidimensional data ma

机译:估计多维数据模型的光谱模型

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摘要

Abstract: The basic procedure of spectral image analysis is mapping, i.e., generation of conventional images using specific spectral features from multidimensional data set. Commonly, it is based on decomposition of the original spectra into a sum of model spectra which are usually attributed to chemically/physically different components. However, the problem is complicated when the model spectra are not clearly definable or difficult and even impossible to obtain experimentally. Here we describe a method for estimating spectral models based on the elimination of physical meaningless solutions obtained by PCA (Principal Component Analysis). The method includes the following steps: segmentation of the original spectral image using a white- light image; generation of primary factors for each segmented region by MDF (maximum distance factors) algorithm; extending the factor space to satisfy non-negative score requirements; generation of model limits by rotation of factor matrix in conditions of non-negative intensity values; calculation of the common model as intersection regions in the score space. The precision of the method depends on the spectral variations in the original data. When these variations are significant the models could be obtained precisely and then attributed to possible sample components. This method was validated in different research fields: to study the distribution of anticancer drugs in single living cells, to characterize phenolic species in wheat walls. !8
机译:摘要:光谱图像分析的基本过程是映射,即使用来自多维数据集的特定光谱特征生成常规图像。通常,它是基于将原始光谱分解为模型光谱的总和,这些光谱通常归因于化学/物理上不同的成分。但是,当模型光谱无法明确定义或很难甚至无法通过实验获得时,问题就变得很复杂。在这里,我们描述了一种基于消除PCA(主成分分析)获得的无意义物理解的频谱模型估算方法。该方法包括以下步骤:使用白光图像分割原始光谱图像;通过MDF(最大距离因子)算法为每个分割区域生成主要因子;扩展要素空间以满足非负分数要求;通过在非负强度值条件下旋转因子矩阵来生成模型极限;计算通用模型作为得分空间中的交集区域。该方法的精度取决于原始数据中的光谱变化。当这些变化很明显时,可以精确获得模型,然后将其归因于可能的样本成分。该方法在不同的研究领域得到验证:研究抗癌药物在单个活细胞中的分布,表征小麦壁中的酚类。 !8

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