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Abstract |
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 pa...rticles such that δ_<agg> 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 γ_<agg> ∈ (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>.show more
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