The range of interaction for the characterization of cloudiness of nonwovens

Zeng, Kaiping; Korvink, Jan G.

doi:10.1109/icosp.2000.891762

Cited by 1 publication

(1 citation statement)

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“…6, we compare our approach to a variety of alternatives: the range of interaction, the Laplacian pyramid, and the intensity of small-angle scattering. The range of interaction promoted as homogeneity measure in [13,14] is just the integral of the correlation function. The Laplacian pyramid decomposes the image of the structure into 'several scales' , evaluates the degree of homogeneity on each scale, and finally derives an overall degree of homogeneity [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

An unambiguous cloudiness index for nonwovens

et al. 2022

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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 can be measured easily by image analysis methods and carries more information than the alternatives.

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