Lectures about Digital Geometry

Einführung in Digitale Topologie

m-Umgebung, Begrenzung, abstrakte Zellenkomplexe, Nachbarschaft, Cartesische Komplexe

Introduction to Digital Topology

m-Adjacency, Boundaries, Abstract Cell Complexes, Neighborhood, Cartesian Complexes

Digitale Strecken

Definitionen und Eigenschaften, Unterteilung von Kurven in digitale Strecken, Anwendungen digitaler Strecken, Fläche und Umfang

Digital Straight Lines

Definition and Properties, Subdividing a Curve into Longest DSSs, Applications of DSSs, Area and Perimeter

2D Algorithmen

Konturverfolgung in 2D. Starten des Konturverfolgers. Code des Konturverfolgers. Füllen von m-Mannigfaltigkeiten. Gebietsmarkierung.

2D Algorithms based on Digital Topology

Tracing Boundaries in 2D. Starting Point of Tracing. Code of "Trace". Filling m-Manifolds, Component Labeling.

Digitale Flächen

Theorie. Iterative Flächenteilung. Teilung in größtmögliche Flächenstücke.

Digital Plane Patches

Theory. DPP Recognition by Iterations. Subdividing a Surface into as Large as Possible DPPs.

Konvexe Hüllen

Definition. Der Algorithmus.

Convex Hulls

Definition. The Algorithm.

Blockzellenliste

Block Cell List

Konturverfolgung in 3D

Surface Tracing in 3D

Skelettierung

Skeletons in 2D and 3D

Axiome der digitalen Topologie

Axiomatic Digital Topology

Introduction, Axioms of Digital Topology, Relation between the Suggested and the Classical Axioms, Deducing the Properties of ALF Spaces from the Axioms, Previous Work, Consistency of the (m, n)-Adjacencies from the Point of View of the Axiomatic Theory, Applications, Conclusion, References, Appendix