About: Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers     Goto   Sponge   NotDistinct   Permalink

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  • The contours of textile fibers cross-sections have as a rule the shape of deformed circle. Unfolded contours can then be described as a smooth periodical curve contaminated with local nonregularities, and can therefore be analyzed with the aid of the statistical regression model. The present paper applies such an approach to the comparison of shapes of cross-sections for several types of carbon fibers. The corresponding regression curve is constructed as the combination of trigonometric functions, its complexity is optimized by methods of math. statistics. It is also shown, by random sampling, that the parameters of the model correspond to different deformations of circular contour. On this basis, the method is proposed for the discrimination between the heat-treated and untreated fibers.
  • The contours of textile fibers cross-sections have as a rule the shape of deformed circle. Unfolded contours can then be described as a smooth periodical curve contaminated with local nonregularities, and can therefore be analyzed with the aid of the statistical regression model. The present paper applies such an approach to the comparison of shapes of cross-sections for several types of carbon fibers. The corresponding regression curve is constructed as the combination of trigonometric functions, its complexity is optimized by methods of math. statistics. It is also shown, by random sampling, that the parameters of the model correspond to different deformations of circular contour. On this basis, the method is proposed for the discrimination between the heat-treated and untreated fibers. (en)
Title
  • Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers
  • Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers (en)
skos:prefLabel
  • Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers
  • Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers (en)
skos:notation
  • RIV/46747885:24410/02:00000133!RIV/2003/GA0/244103/N
http://linked.open.../vavai/riv/strany
  • 369-375
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/01/0565)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 665031
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24410/02:00000133
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • %22Carbon fibers; cross-sections; analysis of shapes; statistical methods; regression model;%22 (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B4204FE6F82F]
http://linked.open...v/mistoKonaniAkce
  • Hejnice
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  • Hejnice
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  • ROBUST2002, Sborník příspěvků dvanácté zimní školy JČMF ( Antoch J. a Dohnal G. eds.)
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Volf, P.
  • Linka, A.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • JČMF Praha
https://schema.org/isbn
  • 80-715-900-6
http://localhost/t...ganizacniJednotka
  • 24410
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