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Abbreviations The following abbreviations are used in this manuscript: FD Fractal Dimension PSD Power Spectral Density Ra Average of Surface Roughness COF Coefficient of Friction MIU Average of Coefficient of Friction MAD Mean Absolute Deviation RMAD Mean Absolute Deviation of Surface Roughness FMAD Mean Absolute Deviation of Surface Friction
References 1. Kaye, B.H. Characterizing the flowability of a powder using the concepts of fractal geometry and chaos theory. Part. Syst. Charact. 1997 , 14 , 53–66. [CrossRef] 2. Keller, J.B. Flow in random porous media. Transp. Porous Media 2001 , 43 , 395–406. [CrossRef] 3. Rigby, S.P.; Gladden, L.F. The prediction of transport properties of porous media using fractal models and NMR experimental techniques. Chem. Eng. Sci. 1999 , 54 , 3503–3512. [CrossRef] 4. Ko, Y.C.; Park, J.-M.; Shin, S.-J. The principles of fractal geometry and its applications for pulp & Paper Industry. J. Korea Tech. Assoc. Pulp Pap. Ind. 2015 , 47 , 177–186. 5. Jeong, C.W.; Lee, Y.J.; Shin, Y.C.; Choi, M.J.; Kim, H.J. Paper fingerprint by forming fabric: Analysis of periodic marks with 2D lab formation sensor and machine learning for forensic paper-identification. Nord. Pulp Pap. Res. J. 2024 , 39 , 747–757. [CrossRef] 6. Lee, Y.-J.; Jeong, C.W.; Kim, H.J. Paper fingerprint by forming fabric: Analysis of periodic marks with 2D lab formation sensor and artificial neural network for forensic document dating. BioResources 2024 , 19 , 7591–7605. [CrossRef] 7. Fellers, C. Paper physics. In Pulp and Paper Chemistry and Technology: Paper Products Physics and Technology ; De Gruyter: Berlin, Germany, 2009; Volume 4, pp. 25–67. 8. Smook, G.A. Handbook for Pulp & Paper Technologists ; Angus Wilde Publications: Vancouver, BC, Canada, 2002. 9. Borodulina, S.; Kulachenko, A.; Nygårds, M.; Galland, S. Stress-strain curve of paper revisited. Nord. Pulp Pap. Res. J. 2012 , 27 , 318–328. [CrossRef] 10. ter Fellers, C. Bending stiffness, with special reference to paperboard. In Handbook of Physical Testing of Paper ; CRC Press: Boca Raton, FL, USA, 2001; pp. 253–276. 11. Hollmark, H.J.M.D. Mechanical Properties of Paper and Paperboard ; Marcel Dekker: New York, NY, USA, 1983; Volume 11, p. 497. 12. Ko, Y.C.; Melani, L.; Park, N.Y.; Kim, H.J. Surface characterization of paper and paperboard using a stylus contact method. Nord. Pulp Pap. Res. J. 2020 , 35 , 78–88. [CrossRef] 13. Rigdahl, M.; Westerlind, B.; Hollmark, H. Analysis of cellulose networks by the finite element method. J. Mater. Sci. 1984 , 19 , 3945–3952. [CrossRef] 14. Jeong, H.S.; Ko, Y.C.; Kim, H.-J. Effects of a stylus on the surface roughness determination in a contact method for paper and paperboard. Nord. Pulp Pap. Res. J. 2019 , 34 , 442–452. [CrossRef] 15. Mandelbrot, B.J.N.Y. The Fractal Geometry of Nature ; W H Freeman and Co., Ltd.: New York, NY, USA, 1982. 16. Russ, J.C. Fractal Surfaces ; Springer Science + Business Media: Berlin/Heidelberg, Germany, 2013. 17. Lee, Y.J.; Ko, Y.C.; Moon, B.G.; Kim, H.J. Surface characterization of paper products by profilometry with a fractal dimension analysis. BioResources 2023 , 18 , 3978–3994. [CrossRef] 18. Vernhes, P.; Bloch, J.-F.; Mercier, C.; Blayo, A.; Pineaux, B. Statistical analysis of paper surface microstructure: A multi-scale ap-proach. Appl. Surf. Sci. 2008 , 254 , 7431–7437. [CrossRef] 19. ISO 187:2022 ; Paper, Board and Pulps—Standard Atmosphere for Conditioning and Testing and Procedure for Monitoring the Atmosphere and Conditioning of Samples. International Organization for Standardization: Geneva, Switzerland, 2022. 20. KS M 4057:2021 ; Determination of Stylus Contact Method of Paper and Board—Surface Friction. Korea Agency for Technology and Standards: Chungbuk, Republic of Korea, 2021. 21. ISO 24118-1:2023 ; Paper and board—Stylus contact method—Part 1: Determination of surface roughness. International Organiza- tion for Standardization: Geneva, Switzerland, 2023. 22. Park, N.Y.; Ko, Y.C.; Kim, H.J.; Moon, B.G. Surface characterization of paper products via a stylus-type contact method. BioResources 2021 , 16 , 5667–5678. [CrossRef] 23. Moon, B.G.; Park, N.Y.; Ko, Y.C.; Kim, H.J. Characterization of paper surfaces by friction profilometry. BioResources 2022 , 17 , 6067–6078. [CrossRef]
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