• Martin Lehmann MANN+HUMMEL GMBH, Hindenburgstr. 45, D-71638 Ludwigsburg
  • Jobst Eisengräber-Pabst MANN+HUMMEL GMBH, Hindenburgstr. 45, D-71638 Ludwigsburg
  • Joachim Ohser Univ. Appl. Sci. Darmstadt, Dept. Math \& Nat. Sci., Schöfferstr. 3, D-64295 Darmstadt
  • Ali Moghiseh Univ. Appl. Sci. Darmstadt, Dept. Math \& Nat. Sci., Schöfferstr. 3, D-64295 Darmstadt



Bartlett spectrum, chart cloudiness, fiber system, filter paper, formation, image analysis


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.

Author Biography

Ali Moghiseh, Univ. Appl. Sci. Darmstadt, Dept. Math \& Nat. Sci., Schöfferstr. 3, D-64295 Darmstadt

Univ. Appl. Sci. Darmstadt, Dept. Math \& Nat. Sci.,
Schöfferstr. 3, D-64295 Darmstadt



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How to Cite

Lehmann, M., Eisengräber-Pabst, J., Ohser, J., & Moghiseh, A. (2013). CHARACTERIZATION OF THE FORMATION OF FILTER PAPER USING THE BARTLETT SPECTRUM OF THE FIBER STRUCTURE. Image Analysis and Stereology, 32(2), 77–87.



Original Research Paper