. . "Statistical regression method of shape analysis, with application to classification of cross-sections of carbon 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." . "%22Carbon fibers; cross-sections; analysis of shapes; statistical methods; regression model;%22"@en . . . . "Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers"@en . . . . "RIV/46747885:24410/02:00000133" . "Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers" . . . "7"^^ . "ROBUST2002, Sborn\u00EDk p\u0159\u00EDsp\u011Bvk\u016F dvan\u00E1ct\u00E9 zimn\u00ED \u0161koly J\u010CMF ( Antoch J. a Dohnal G. eds.)" . . "J\u010CMF Praha" . . . . "80-715-900-6" . "Statistical regression method of shape analysis, with application to classification of cross-sections of carbon fibers"@en . "Hejnice" . "24410" . "Hejnice" . . "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 . . "2002-01-21+01:00"^^ . "Linka, A." . . . "[B4204FE6F82F]" . "0"^^ . "Volf, P." . "0"^^ . "2"^^ . "369-375" . . "2"^^ . "RIV/46747885:24410/02:00000133!RIV/2003/GA0/244103/N" . . "665031" . "P(GA106/01/0565)" .