Table of Contents:
  • Introduction
  • Discrete Spaces: Graphs, Lattices, and Digital Spaces
  • Euclidean Space and Continuous Space
  • Digital Planar Geometry: Curves and Connected Regions
  • Surfaces and Manifolds in Digital Space
  • Algorithms for Digital Surfaces and Manifolds
  • Discrete Manifolds: the Graph-Based Theory
  • Discretization, Digitization, and Embedding
  • Combinatorial Topology and Digital Topology
  • Geometric Measurements and Geometric Computing
  • Digital Functions, Data Reconstruction, and Numerical Geometry
  • Geometric Search and Geometric Processing
  • Discrete Methods in Differential Geometry
  • Advanced Digital Topology and Applications
  • Select Topics and Future Challenges in Discrete Geometry.