摘要

In this paper, the fractal characteristics of paper surface and the feasibility to use fractal dimension to characterize the micro-topography of paper surface are investigated through AFM to acquire the micro-topography data and through Heron formula to optimize the algorithm on the fractal dimension. Then, the distribution homogeneity of surface height is evaluated with the average value of standard deviations of RMS roughness in different scales and at different angles as parameter, and the effects of the gloss coating and the vacuum aluminizing on micro-topography are discussed. The results show that (1) the fractal dimension based on the original algorithm exceeds the theoretical value while that based on the optimized algorithm is within the range of theoretical value;(2) paper surface displays fractal characteristics and optimized fractal dimension can be used to characterize the surface of micro-topography;(3) the higher fractal dimension is, the more complicated surface of micro-topography will be;and (4) when a coating weight is 3 g/m2, the gloss coating do not affect the fractal dimension but causes the homogeneity parameter of superficial height distribution to decrease from 4.05 nm to 2.11 nm, and the vacuum aluminizing causes the fractal dimension to decrease from 2.58 to 2.21. In addition, the homogeneity parameter of superficial height distribution reduces from 2.54 nm to 0.78 nm.

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