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  5. Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation
 
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Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation
File(s)
Journal of the Royal Statistical Society Series C - Applied Statistics_61_2012.pdf (903.47 KB)
Accepted version
Author(s)
Bray, DB
Gilmour, SG
Guild, FJ
Taylor, AC
Type
Journal 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.
Date Issued
2012-03
Citation
Journal of the Royal Statistical Society Series C: Applied Statistics, 2012, 61 (2), pp.253-275
URI
http://hdl.handle.net/10044/1/13969
DOI
https://www.dx.doi.org/10.1111/j.1467-9876.2011.01009.x
ISSN
0035-9254
Publisher
WILEY-BLACKWELL
Start Page
253
End Page
275
Journal / Book Title
Journal of the Royal Statistical Society Series C: Applied Statistics
Volume
61
Issue
2
Copyright Statement
© 2011 Royal Statistical Society. This is the peer reviewed version of the following article: Bray, D. J., Gilmour, S. G., Guild, F. J. and Taylor, A. C. (2012), Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation. Journal of the Royal Statistical Society: Series C (Applied Statistics), 61: 253–275, which has been published in final form at http://dx.doi.org/10.1111/j.1467-9876.2011.01009.x.  This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving'. 
License URL
http://www.rioxx.net/licenses/all-rights-reserved
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000301224800005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Publication Status
Published
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