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.