Specification of the ruggedness and/or texture of a fine particle profile by its fractal dimension

摘要: Abstract The fractal dimension of a space-filling non-differentiable curve has recently been defined by Mandelbrot. It is shown that the an indented or convoluted fine particle profile could provide index for quantifying ruggedness shape particle. An analogy between work Richardson on problems coastline specification in geography and scientists seeking to specify structure drawn. Three different methodologies measuring rugged and/or textured are suggested. These (a) random walk strategies using coupled light pens, (b) line scan interception logic, (c) digital set theory binary image transforms. Preliminary data measurement procedures profiles particles agglomerates presented. specifying agglomerate made clearly discernible subunits which have Euclidian changes its nature when exploratory step size around approaches order magnitude dimensions subunit. This basis algorithm determining automated iconometric procedure. suggested along with descriptive parameters from convex hull gives comprehensive description profile. Other potential applications fractals science briefly discussed.