Open AccessCHARACTERIZATION OF THE FORMATION OF FILTER PAPER USING THE BARTLETT SPECTRUM OF THE FIBER STRUCTURE
Author(s) -
Martin J. Lehmann,
Jobst Eisengräber-Pabst,
Joachim Ohser,
Ali Moghiseh
Publication year - 2013
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.v32.p77-87
Subject(s) - spectral density , mathematics , gaussian , filter (signal processing) , spectrum (functional analysis) , bessel function , fiber , transmission (telecommunications) , chart , gaussian filter , algorithm , image (mathematics) , statistics , computer science , mathematical analysis , artificial intelligence , materials science , physics , telecommunications , computer vision , quantum mechanics , composite material
The formation index of filter paper is one of the most important characteristics used in industrial quality control. Its estimation is often based on subjective comparison chart rating or, even more objective, on the power spectrum of the paper structure observed on a transmission light table. It is shown that paper formation can be modeled as Gaussian random fields with a well defined class of correlation functions, and a formation index can be derived from the density of the Bartlett spectrum estimated from image data. More precisely, the formation index is the mean of the Bessel transform of the correlation taken for wave lengths between 2 and 5 mm