Shigeki Matsutani, Yoshiyuki Shimosako
In this article, we introduce a novel geometrical index $\delta_\agg$, which is associated with the Euler number and is obtained by an image processing procedure, for a given digital picture of aggregated particles such that $\delta_\agg$exhibits the degree of the agglomerations of the particles. In the previous work (Matsutani, Shimosako, Wang, Appl.Math.Modeling {\bf{37}} (2013), 4007-4022), we proposed an algorithm to construct a picture of agglomerated particles as a Monte-Carlo simulation whose agglomeration degree is controlled by $\gamma_\agg \in (0,1)$. By applying the image processing procedure to the pictures of the agglomeration particles constructed following the algorithm, we show that $\delta_\agg$ statistically reproduces the agglomeration parameter $\gamma_\agg$.
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http://arxiv.org/abs/1302.5150
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