Digital and Image Geometry: Advanced Lectures

An Axiomatic Approach to Digital Topology....Pages 3-16
Generic Programming Techniques that Make Planar Cell Complexes Easy to Use....Pages 17-37
Algorithms and Data Structures for Computer Topology....Pages 38-58
Computer Presentation of 3-Manifolds....Pages 59-74
“Continuous” Multifunctions in Discrete Spaces with Applications to Fixed Point Theory....Pages 75-88
SpaMod: Design of a Spatial Modeling Tool....Pages 91-108
Introduction to Combinatorial Pyramids....Pages 108-128
Representing Vertex-Based Simplicial Multi-complexes....Pages 129-149
Discrete Polyhedrization of a Lattice Point Set....Pages 150-162
Digital Partitions Encoding....Pages 163-172
Stability and Instability in Discrete Tomography....Pages 175-186
Point-to-Line Mappings and Hough Transforms....Pages 187-208
Digital Lines and Digital Convexity....Pages 209-228
Curvature Flow in Discrete Space....Pages 229-249
Hausdorff Sampling of Closed Sets into a Boundedly Compact Space....Pages 250-271
Cell Complexes and Digital Convexity....Pages 272-282
Approximation of 3D Shortest Polygons in Simple Cube Curves....Pages 285-298
Segmentation and Length Estimation of 3D Discrete Curves....Pages 299-317
Multigrid Convergence of Geometric Features....Pages 318-338
Length Estimation for Curves with Different Samplings....Pages 339-351
The 2-D Leap-Frog: Integrability, Noise, and Digitization....Pages 352-364
On Approximation of Jordan Surfaces in 3D....Pages 365-386
Similarity Measure Computation of Convex Polyhedra Revisited....Pages 389-399
Reversible Surface Skeletons of 3D Objects by Iterative Thinning of Distance Transforms....Pages 400-411
Distance Transformation and Skeletonization of 3D Pictures and Their Applications to Medical Images....Pages 412-429
About the Limiting Behaviour of Iterated Robust Morphological Operators....Pages 429-438
Collinearity and Weak Collinearity in the Digital Plane....Pages 439-453