Fractal Dimension Analysis of Surface Roughness for Paper and Paperboard

Yong Ju Lee; Na Young Kang; Ji Eun Cha; Ji Min Lee; Do Young Lee; Hyoung Jin Kim

doi:10.7584/JKTAPPI.2023.8.55.4.3

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2023 Vol.55, Issue 4 Next Page

Research Article

Fractal Dimension Analysis of Surface Roughness for Paper and Paperboard 종이 및 판지 표면 거칠음도의 프랙탈 차원 분석

30 August 2023. pp. 3-11

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Abstract

Fractal geometry is characterized by its similarity and hierarchical organization. It exhibits a hierarchical structure composed of elements that share the same shape but vary in size, ranging from the largest to the smallest. In this study, the fractal-dimension values of a paper and paperboard were calculated, which reveal distinct properties of fractal dimensions in contrast to Euclidean geometry. The variogram method was employed to characterize the surface roughness profiles using fractal-dimension analysis to obtain the fractal dimensions of paper products. A decrease in the fractal-dimension value was observed following the coating process. These findings imply the promising applicability of fractal-dimension analysis for evaluating the effects of postprocessing techniques, including printing, coating, creping, and embossing.

Keywords

Surface roughness

fractal geometry

fractal dimension

variogram

autocorrelation

mean absolute deviation

profilometry

profile

stylus

contact method

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Information

Publisher :Korea Technical Association of The Pulp and Paper Industry
Publisher(Ko) :한국펄프종이공학회
Journal Title :Journal of Korea TAPPI
Journal Title(Ko) :펄프종이기술
Volume : 55
No :4
Pages :3-11
Received Date : 2023-06-14
Revised Date : 2023-07-26
Accepted Date : 2023-07-28
DOI :https://doi.org/10.7584/JKTAPPI.2023.8.55.4.3

Journal of Korea TAPPI 펄프종이기술 ISSN:0253-3200(Print)

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