Discrete Images, Objects, and Functions in Zn

by k-voss

This book treats theoretical problems of digital image processing. Voss uses the discrete nature of digital images as the basis for contructing 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 the journals in this field. His treatment of n-dimensional incidence structures is a generalisation of the currently used two-dimensional theory in image processing. There are numerous new results e.g. on similarity of digital objects, n-dimensional surface detection, and inversion of convolution equations. Voss' book is an indispensable source of information to 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.

Paperback

First published May 14, 1993