Discrete Images, Objects, and Functions in Zn

Inhaltsverzeichnis

• 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.