Statistical analysis of paper surface microstructure: A multi-scale approach

Paper properties such as gloss, friction or printability strongly depend on the surface roughness. However, this dependence on the roughness in relation to the measurement scale is not systematically taken into account. Paper surface topography is here studied in a multi-scale approach with the help of a focus variation device. For each measurement scale, statistical parameters were calculated to describe the surface. We isolated among the long list of parameters calculated those that were relevant for paper surface topography analysis. A new method of characterization of paper surface roughness is proposed based on a scaling analysis taken from either profile or surface data. Depending on the scale of analysis different fractal stages were exhibited. The influence of the step of discretization on the roughness parameters was also investigated.

[1]  Maxence Bigerelle,et al.  A numerical method to calculate the Abbott parameters: A wear application , 2007 .

[2]  Maxence Bigerelle,et al.  Roughness characteristic length scales of micro-machined surfaces: A multi-scale modelling , 2007 .

[3]  Jiunn-Jong Wu,et al.  Characterization of fractal surfaces , 2000 .

[5]  Modelling the angle-dependent light scattering from sheets of pulp fibre fragments , 2004 .

[6]  Per-Åke Johansson,et al.  Optical measurement and perception of gloss quality of printed matte-coated paper , 2000 .

[7]  L. Ye,et al.  Analysis of Paper Gloss , 2006 .

[8]  X. Thibault,et al.  Synchrotron X-ray Microtomography: A New Tool to Characterize the Interaction Between Paper and Toner , 2008 .

[9]  Jiunn-Jong Wu.  Simulation of rough surfaces with FFT , 2000 .

[10]  Peter G. Anderson,et al.  A Micro-Goniophotometer and the Measurement of Print Gloss , 2004, Journal of Imaging Science and Technology.

[11]  Nadir Patir,et al.  A numerical procedure for random generation of rough surfaces , 1978 .

[12]  P. D. Fleming,et al.  The effect of ink jet paper roughness on print gloss , 2005 .

[13]  B. Mandelbrot.  Self-Affine Fractals and Fractal Dimension , 1985 .

[14]  Determination of Fractured Steel Surface Roughness by Atomic Force Microscopy Using Fractal‐based Approaches , 1996 .

[15]  Gary Chinga,et al.  Relationships between the coating surface structural variation and print quality , 2003 .

[17]  Per-Åke Johansson,et al.  Surface texture characterization of injection-molded pigmented plastics , 2004 .

[18]  J. Bennett,et al.  Effect of local microroughness on the gloss uniformity of printed paper surfaces. , 2000, Applied optics.

[19]  Bharat Bhushan,et al.  Generalized fractal analysis and its applications to engineering surfaces , 1995 .

[20]  E Marx,et al.  Light scattering from glossy coatings on paper. , 1991, Applied optics.

[21]  M. Schmied,et al.  Comparison of 3D Surface Reconstruction Data from Certified Depth Standards Obtained by SEM and an Infinite Focus Measurement Machine (IFM) , 2006 .

[22]  R. Patrikar.  Modeling and simulation of surface roughness , 2004 .

[23]  J. Bloch,et al.  Influence of paper structure on printability: Characterisation of paper using X-Ray Synchrotron Microtomography , 2006, NIP & Digital Fabrication Conference.

[24]  Henry J. Kent.  The fractal dimension of paper surface topography , 1991 .

[25]  G. Chinga.  A quadtree decomposition approach for surface assessment , 2006, Pattern Analysis and Applications.

[26]  F Raharijaona,et al.  Usage of 3D roughness parameters adapted to the experimental simulation of sheet-tool contact during a drawing operation , 1999 .