Measuring Agglomeration of Agglomerated Particles Pictures
| Autor: | Matsutani, Shigeki, Shimosako, Yoshiyuki |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
FOS: Computer and information sciences
agglomeration Probability (math.PR) FOS: Physical sciences Mathematical Physics (math-ph) Numerical Analysis (math.NA) Computational Engineering Finance and Science (cs.CE) digital image processing procedure Euler number FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Mathematics - Numerical Analysis Computer Science - Computational Engineering Finance and Science Mathematical Physics Mathematics - Probability |
| DOI: | 10.48550/arxiv.1302.5150 |
| Popis: | 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 $\gamma_{agg}$. Comment: agglomeration, digital image processing procedure, Euler number |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|