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Representativity of 2D Shape Parameters for Mineral Particles in Quantitative Petrography

Geological and Mining Institute of Spain (IGME), C/Matemático Pedrayes 25, 33005 Oviedo, Spain
Department of Geology, University of Oviedo, C/Jesús Arias de Velasco s/n, 33005 Oviedo, Spain
Author to whom correspondence should be addressed.
Minerals 2019, 9(12), 768;
Received: 5 November 2019 / Revised: 4 December 2019 / Accepted: 6 December 2019 / Published: 11 December 2019
(This article belongs to the Special Issue Microtexture Characterization of Rocks and Minerals)
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’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. View Full-Text
Keywords: particle; shape; roundness; roughness; regularity particle; shape; roundness; roughness; regularity
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MDPI and ACS Style

Berrezueta, E.; Cuervas-Mons, J.; Rodríguez-Rey, Á.; Ordóñez-Casado, B. Representativity of 2D Shape Parameters for Mineral Particles in Quantitative Petrography. Minerals 2019, 9, 768.

AMA Style

Berrezueta E, Cuervas-Mons J, Rodríguez-Rey Á, Ordóñez-Casado B. Representativity of 2D Shape Parameters for Mineral Particles in Quantitative Petrography. Minerals. 2019; 9(12):768.

Chicago/Turabian Style

Berrezueta, Edgar, José Cuervas-Mons, Ángel Rodríguez-Rey, and Berta Ordóñez-Casado. 2019. "Representativity of 2D Shape Parameters for Mineral Particles in Quantitative Petrography" Minerals 9, no. 12: 768.

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