Three techniques for implementing digital fractal analysis of particle shape

Abstract Of all the image analysis techniques proposed in the literature, fractal analysis provides the simplest method of examining particle structure over a wide range of scales. Although fractal analysis can be conducted easily by hand on an image which is sufficiently large, the need to deal with large numbers in a powder sample requires the implementation of fractal analysis on a digitizer. In the literature, dilation technique, an exact technique, and the Schwarz and Exner fast technique have been proposed. A hybrid technique has been used to approximate closely the exact technique while avoiding some of the errors in the fast technique and the cumbersome interpolations in the exact technique. An algorithm which is both rapid and accurate for digitized fractal analysis results.