In this paper we analyse digitally generated fractal images added to periodic
patterns using the variance of grey levels with four parameters. The variogram
shows a linear fit at low scale and a multiple periodic behaviour at high
scale. The image texture is characterized by the fractal dimension
D
at low scale and two textural parameters at high scale:
dmin and dper.
The intersection of the straight line that fits the fractal region and the
tangent line at the maximum of the periodic region determines the
dmin parameter;
it accounts for the smallest cell size with enough statistical weight to produce periods. The
dper
parameter approaches the average distance between the nearest cells with enough
statistical weight to produce periods. The characterization is completed with the
study of the image anisotropies through changes under rotation in fractal dimension
D and topothesy
Λ.
This analysis is applied to SEM images of CSi emery
paper particles of different grades and origin. The results of
dmin
compare satisfactorily with dimensional characteristics of particle sizes, according to
Federation of European Producers of Abrasives and ISO 6344/1 and 6344/3 standards.
The dper
values are congruent with the average distance between particles for different
grades of paper, thus making possible the evaluation of different qualities.
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