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A shot-noise model for paper fibres with non-uniform random orientations
Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), Halmstad Embedded and Intelligent Systems Research (EIS), Tillämpad matematik och fysik (MPE-lab).
Department of Mathematics, Stockholm University, Sweden.
2005 (engelsk)Inngår i: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 32, nr 3, s. 351-363Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The surface properties of newsprint and other paper qualities are to a great extent determined by the properties of the cellulose fibres. An appropriate description of these fibres as they appear in the paper is therefore important and can be used for quality classification and process monitoring. We suggest a model that considers the fibre geometry and appearance. It is based on a two-dimensional shot-noise process. The model is fit by minimizing a weighted least squares distance between the model-based and estimated covariance functions and this provides estimates of the fibre size, intensity and the non-uniform distribution of the fibre orientation. The model is applied to simulated and real data.

sted, utgiver, år, opplag, sider
Oxford: Blackwell Publishing, 2005. Vol. 32, nr 3, s. 351-363
Emneord [en]
covariance function, fibre process, newsprint, shot-noise, weighted non-linear estimation
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Identifikatorer
URN: urn:nbn:se:hh:diva-18717DOI: 10.1111/j.1467-9469.2005.00449.xISI: 000231145600001Scopus ID: 2-s2.0-24344488474OAI: oai:DiVA.org:hh-18717DiVA, id: diva2:540882
Tilgjengelig fra: 2012-07-12 Laget: 2012-06-25 Sist oppdatert: 2018-03-22bibliografisk kontrollert

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