Voss' book which deals with theoretical problems of digital image processing 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. The author, who is a well-known expert in the field of digital image processing, presents important new research which generalizes the currently used two-dimensional theory to n dimensions. Content.- 1 Neighborhood Structures.- 1.1 Finite Graphs.- 1.2 Neighborhood Graphs.- 1.3 Components in Neighborhood Structures.- 1.4 Dilatation and Erosion.- 2 Incidence Structures.- 2.1 Homogeneous Incidence Structures.- 2.2 Oriented Neighborhood Structures.- 2.3 Homogeneous Oriented Neighborhood Structures.- 2.4 Objects in N-Dimensional Incidence Structures.- 3 Topological Laws and Properties.- 3.1 Objects and Surfaces.- 3.2 Motions and Intersections.- 3.3 Topology Preserving Operations.- 4 Geometrical Laws and Properties.- 4.1 Discrete Geometry.- 4.2 Straight Lines.- 4.3 Convexity.- 4.4 Approximative Motions.- 5 Discrete Functions.- 5.1 One-Dimensional Periodical Discrete Functions.- 5.2 Algebraic Theory of Discrete Functions.- 5.3 Orthogonal Convolution Bases.- 5.4 Inversion of Convolutions.- 5.5 Differences and Sums of Functions.- 6 Summary and Symbols.- 7 References.- 8 Index. Voss' book which deals with theoretical problems of digital image processing 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. The author, who is a well-known expert in the field of digital image processing, presents important new research which generalizes the currently used two-dimensional theory to n dimensions.
