Chemometrical approach to the determination of the fractal dimension(s) of real objects

Fractal dimension has been recognized for a long time as a useful parameter for shape characterisation. However, the use of the fractals concept requires the visual inspection of the Richardson plot which hampers the practical applications. In this paper a fully automatical method for the analysis of the Richardson plot is described. A clustering approach is adopted instead of the visual inspection of Richardson plot. Cases which explain the application of the method are examined.