Publisher's Synopsis
This text deals with the theoretical problems of digital image processing. Voss uses the discrete nature of digital images as the basis for constructing appropriate mathematical models like n-dimensional incidence structures, lattices and discrete functions. Presenting the results from this point of view has the important advantage that they can be used directly in practical image processing.;Voss presents the results of his own research and has collected other relevant and up-to-date material from journals in this field. His treatment of n-dimensional incidence structures is a generalization of the currently used two-dimensional theory in image processing. There are numerous new results such as similarity of digital objects, n-dimensional surface detection, and inversion of convolution equations.