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Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation

Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation
Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation
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.
composite material, hard-core model, image analysis, randomness, regularity, small samples, voronoi
0035-9254
253-275
Bray, David
2d1a6366-ed1f-4e7b-8748-302e46086d78
Gilmour, Steven G.
984dbefa-893b-444d-9aa2-5953cd1c8b03
Guild, Felicity J.
f50030b2-f544-4f91-8bab-3dae6678eb36
Taylor, Ambrose C.
89b09dde-5e48-47dc-a209-e2a81dd69588
Bray, David
2d1a6366-ed1f-4e7b-8748-302e46086d78
Gilmour, Steven G.
984dbefa-893b-444d-9aa2-5953cd1c8b03
Guild, Felicity J.
f50030b2-f544-4f91-8bab-3dae6678eb36
Taylor, Ambrose C.
89b09dde-5e48-47dc-a209-e2a81dd69588

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).

Record type: Article

Abstract

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.

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e-pub ahead of print date: 5 January 2012
Published date: March 2012
Keywords: composite material, hard-core model, image analysis, randomness, regularity, small samples, voronoi
Organisations: Statistics

Identifiers

Local EPrints ID: 193777
URI: https://eprints.soton.ac.uk/id/eprint/193777
ISSN: 0035-9254
PURE UUID: 8f7526b4-e403-4af7-a5b6-c2fce6b4e7d8

Catalogue record

Date deposited: 20 Jul 2011 09:02
Last modified: 16 Sep 2019 18:47

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