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A shot-noise model for paper fibres with non-uniform random orientations
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Halmstad Embedded and Intelligent Systems Research (EIS), MPE-lab.
Department of Mathematics, Stockholm University, Sweden.
2005 (English)In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 32, no 3, p. 351-363Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
Oxford: Blackwell Publishing, 2005. Vol. 32, no 3, p. 351-363
Keywords [en]
covariance function, fibre process, newsprint, shot-noise, weighted non-linear estimation
National Category
Probability Theory and Statistics
Identifiers
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
Available from: 2012-07-12 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved

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Johansson, Jan Olof

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf