2013/02/20 by Shigeki Matsutani, Matsutani, Shigeki, Yoshiyuki Shimosako +1
Computer Science · Environmental Science · #Advanced Clustering Algorithms Research #Algebraic Topology (math.AT) #Computational Engineering #Data Management and Algorithms #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #Land Use and Ecosystem Services #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Probability (math.PR) #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1302.5150
openalex publication_date 2013/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \bf37 (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.