Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation

Bray, David, Gilmour, Steven G., Guild, Felicity J. and Taylor, Ambrose C. (2012) Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation. Journal of the Royal Statistical Society: Series C (Applied Statistics), 61, (2), 253-275. (doi:10.1111/j.1467-9876.2011.01009.x).


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Characterizing the quality of dispersion of nanocomposites presents a challenging statistical problem for which no direct method has been fully adopted. A high precision, statistically well-grounded measure is required which is suitable for dealing with a single small non-homogeneous particle pattern obtained from the material. Our approach uses the Delaunay network of particles to measure the area disorder ADDel, which can be further used to categorize a material sample into well or poorly dispersed. ADDel-analysis is applied to several micrographs of nanoparticle-modified materials and found to classify the type of dispersion reliably. Selected spatial point processes are employed to estimate expected imprecision in observed measurements.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1111/j.1467-9876.2011.01009.x
ISSNs: 0035-9254 (print)
1467-9876 (electronic)
Keywords: composite material, hard-core model, image analysis, randomness, regularity, small samples, voronoi
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 193777
Accepted Date and Publication Date:
March 2012Published
5 January 2012Made publicly available
2011In press
Date Deposited: 20 Jul 2011 09:02
Last Modified: 31 Mar 2016 13:43
URI: http://eprints.soton.ac.uk/id/eprint/193777

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