Mosaic models for images-I. Geometric properties of components in cell-structure mosaics

This paper deals with digital patterns generated by a class of random geometric processes proposed as models for images. It derives expressions for the expected area and width of a connected component, the expected number of components, and the expected total perimeter in such patterns. Experiments conducted to verify some of the results are reported. These results can be used for fitting the models to a given ensemble of images.