Representativity of 2D Shape Parameters for Mineral Particles in Quantitative Petrography
Autor: | Edgar Berrezueta, Ángel Rodríguez-Rey, Jose Cuervas-Mons, Berta Ordóñez-Casado |
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Rok vydání: | 2019 |
Předmět: |
particle
regularity Pixel Numerical analysis Mathematical analysis 0211 other engineering and technologies Geology Image processing 02 engineering and technology shape 010502 geochemistry & geophysics Geotechnical Engineering and Engineering Geology 01 natural sciences Fractal dimension roundness Roundness (object) Shape parameter Sphericity Particle roughness 021101 geological & geomatics engineering 0105 earth and related environmental sciences Mathematics |
Zdroj: | Scopus RUO. Repositorio Institucional de la Universidad de Oviedo instname RUO: Repositorio Institucional de la Universidad de Oviedo Universidad de Oviedo (UNIOVI) Minerals Volume 9 Issue 12 |
ISSN: | 2075-163X |
Popis: | This paper introduces an assessment of the representation of shape parameter measurements on theoretical particles. The aim of the study was to establish a numerical method for estimating sphericity, roundness, and roughness on artificially designed particles and to evaluate their interdependence. The parameters studied included a fractal dimension (FD), solidity (So), Wadell&rsquo s roundness (Rw), a perimeter-area normalized ratio (¥ ), and sphericity (S). The methods of the work included: (a) the design of theoretical particles with different shapes, (b) the definition of optimal analysis conditions for automated measurements, (c) the quantification of particle parameters by computer vision-based image processing, and (d) the evaluation of interdependence between the parameters. The study established the minimum sizes required for analysis of the particle shape. These varied depending on the method used (150 pixels or 50 pixels). Evaluating the relationships between the parameters showed that FD and So are independent of S. Nevertheless, Rw and ¥ are clearly dependent on S and, thus, must be numerically corrected to Rwc and ¥ c. FD, So, Rwc, and ¥ c were used to establish, mathematically, a new regularity parameter (RBC) that reflects the degree of roundness of a particle. The process was applied to a case study and the evaluation of all parameters corroborated previous petrographic characterizations. |
Databáze: | OpenAIRE |
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