Measuring Agglomeration of Agglomerated Particles Pictures

In this article, we introduce a novel geometrical index δagg, 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 δagg exhibits the degree of the agglomerations of the particles. In the previous work (Matsutani, Shimosako, Wang, Appl. Math. Modeling 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 γagg ∈ (0, 1). By applying the image processing procedure to the pictures of the agglomeration particles constructed following the algorithm, we show that δagg statistically reproduces the agglomeration parameter γagg.