Filtration und Separation in der Automobiltechnik

Durst, Michael; Klein, Gunnar-Marcel; Moser, Nikolaus; Trautmann, Pius

doi:10.1002/cite.200700153

Cited by 8 publications

(6 citation statements)

References 15 publications

(3 reference statements)

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“…cf. Equation (1), where µ and σ are the mean and the standard deviation of the function ln g(x) for all x, respectively.…”

Section: Estimation Of the Power Spectrummentioning

confidence: 99%

An unambiguous cloudiness index for nonwovens

Godehardt,

Moghiseh,

Oetjen

et al. 2022

Preprint

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Cloudiness or formation is a concept routinely used in industry to address deviations from homogeneity in nonwovens and papers. Measuring a cloudiness index based on image data is a common task in industrial quality assurance. The two most popular ways of quantifying cloudiness are based on power spectrum or correlation function on the one hand or the Laplacian pyramid on the other hand. Here, we recall the mathematical basis of the first approach comprehensively, derive a cloudiness index, and demonstrate its practical estimation. We prove that the Laplacian pyramid as well as other quantities characterizing cloudiness like the range of interaction and the intensity of small-angle scattering are very closely related to the power spectrum. Finally, we show that the power spectrum is easy to be measured image analytically and carries more information than the alternatives.

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“…cf. Equation (1), where µ and σ are the mean and the standard deviation of the function ln g(x) for all x, respectively.…”

Section: Estimation Of the Power Spectrummentioning

confidence: 99%

An unambiguous cloudiness index for nonwovens

Godehardt,

Moghiseh,

Oetjen

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…cf. Equation (1), where μ and σ are the mean and the standard deviation of the function ln g(x) for all x, respectively.…”

Section: Estimation Of the Power Spectrummentioning

confidence: 99%

“…Nonwovens, papers, and felts are used in a wide variety of fields, ranging from filtration of gases or liquids over thermal insulation and soundproofing to hygiene and sanitary articles, see e.g. [1]. They consist of fibers of limited length or filaments, that are more or less randomly distributed and forming the solid matter of a macroscopically homogeneous porous material.…”

Section: Introductionmentioning

confidence: 99%

An unambiguous cloudiness index for nonwovens

et al. 2022

View full text Add to dashboard Cite

Cloudiness or formation is a concept routinely used in industry to address deviations from homogeneity in nonwovens and papers. Measuring a cloudiness index based on image data is a common task in industrial quality assurance. The two most popular ways of quantifying cloudiness are based on power spectrum or correlation function on the one hand or the Laplacian pyramid on the other hand. Here, we recall the mathematical basis of the first approach comprehensively, derive a cloudiness index, and demonstrate its practical estimation. We prove that the Laplacian pyramid as well as other quantities characterizing cloudiness like the range of interaction and the intensity of small-angle scattering are very closely related to the power spectrum. Finally, we show that the power spectrum can be measured easily by image analysis methods and carries more information than the alternatives.

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“…Larger mechanical damage in nanofiber web [35] The cab filter is often neglected during servicing. The main function of this filter is to stop allergens [37]. Untimely replacement can be a problem because pathogenic organisms develop on it over time [38].…”

Section: Figure 20mentioning

confidence: 99%