Discrete images, objects, and functions in Zn̳

the long version

This book deals with 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. The author, who is a well-known expert in the field, presents important new research which generalizes the currently used two-dimensional theory to n dimensions. Voss' book is an indispensable source of information for all those who are involved in the design, implementation, and application of mathematically sound algorithms in image processing; it is written for engineers, mathematicians, and computer scientists.