Aggregate shape characterization in frequency domain

The shape of an aggregate is described in terms of its form, angularity and texture. In the present work the aggregate shape is studied in spatial frequency domain, where two-dimensional profile of aggregates are decomposed into a number of sine waves of different frequencies by using Fast Fourier Transformation. The low, medium and high frequency waves contribute to the form, angularity and texture respectively of the aggregate. In the present work, the demarcation of the frequency boundaries are identified by performing sensitivity analysis on some proposed shape parameters. Subsequently, a unified scheme is developed for quantification of the three shape parameters in the frequency domain.