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The Quantitative Measurement of Pigment Dispersion by Fractal and Other Methods

机译：分形和其他方法定量测量颜料分散度

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摘要

Lacunarity analysis is a method for describing fractal patterns with spatial or textural variations. This method has also been applied to nonfractal and multifractal patterns such as texture, roughness, and porosity. In this paper, an approach is presented for quantitatively describing the nature of particle dispersion in toner by analysis of digitized photomicrographs with fractal dimension and lacunarity analysis. Image analysis of computer synthesized dispersion profiles varying in such properties as mean agglomerate size, agglomerate size distribution, loading, and spatial homogeneity is presented. We find that agglomerate size can be measured by changes in the fractal dimension as determined by modified Richardson plots obtained by a box counting method. Additionally, we find that the spread in the agglomerate size distribution and the spatial homogeneity of the dispersion are correlated with lacunarity as measured by the sliding box algorithm.
机译：腔隙分析是一种描述具有空间或纹理变化的分形图案的方法。该方法也已应用于非分形和多分形图案，例如纹理，粗糙度和孔隙率。本文提出了一种通过分形维数和缩微度分析对数字化显微照片进行分析来定量描述调色剂中颗粒分散性质的方法。给出了计算机合成的分散体分布图的图像分析，这些分布图在平均附聚物大小，附聚物大小分布，负载和空间均匀性等特性方面有所不同。我们发现，附聚物的大小可以通过分形维数的变化来衡量，该分形维数由通过盒计数法获得的改进的Richardson图确定。此外，我们发现，通过滑动盒算法测得的团聚体尺寸分布中的分布和分散体的空间均匀性与隐性相关。

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