Mosaic Models for Images, 1: Geometric Properties of Components in Cell Structure Mosaics

Narendra Ahuja

Abstract

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 very some of the results are reported. These results can be used for fitting the models to a given ensemble of images.