Digital and Discrete Geometry

Explains profound theorems such as Minkowski's Theorem and solid applications such as persistent analysis Provides natural links to profound topics including differential discrete geometry Includes case studies and more Includes supplementary material: sn.pub/extras

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Inhalt
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.