Dimension analysis is a tool to gain structural information from digitized images. In sect. 3 three methods for estimating the fractal dimensions of binary and greyscale images are described.
The box counting procedure is a proper method to estimate the fractal or Hausdorff-Besicovitch dimension [6] of binary structures, whereas the 2D variation procedure is merely appropriate for a comparison of binary structures. The 2D variation procedure and the triangular prism surface area procedure are algorithms for the analysis of greyscale images. The latter has several modifications which can be mixed.
If the parameters gained by the analysis are taken to supply classification problems where textural information is to be processed, the structures under consideration do not neccesarily have to be fractals.