Scale space filtering and the scaling regions of fractals

Fractal dimensions are quantities which have been shown to be useful in the classification and segmentation of textures with scaling behaviour. The application of the concept of fractal analysis to the study of irregular structures is demonstrated by optical roughness measurements. Problems arising in the numerical determination of fractal dimensions are briefly mentioned. Scale space filtering techniques are suggestet to overcome some of these problems which in particular are given with the detection of the limited scaling regions of natural textures.