Measuring Agglomeration of Agglomerated Particles Pictures
This provides a quantitative tool for characterizing agglomeration in particle images, relevant to materials science and image analysis.
The authors introduce a new geometrical index δ_agg to measure particle agglomeration in digital images, and show it statistically reproduces the control parameter γ_agg from simulated agglomerated particle pictures.
In this article, we introduce a novel geometrical index $δ_{agg}$, 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 $δ_{agg}$ 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 $γ_{agg} \in (0,1)$. By applying the image processing procedure to the pictures of the agglomeration particles constructed following the algorithm, we show that $δ_{agg}$ statistically reproduces the agglomeration parameter $γ_{agg}$.