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Tables of Contents for Digital and Image Geometry
Chapter/Section Title
Page #
Page Count
Part I Topology
An Axiomatic Approach to Digital Topology
3
14
Generic Programming Techniques that Make Planar Cell Complexes Easy to Use
17
21
Algorithms and Data Structures for Computer Topology
38
21
Computer Presentation of 3-Manifolds
59
16
``Continuous'' Multifunctions in Discrete Spaces with Applications to Fixed Point Theory
75
16
Part II Representation
SpaMod: Design of a Spatial Modeling Tool
91
17
Introduction to Combinatorial Pyramids
108
21
Representing Vertex-Based Simplicial Multi-complexes
129
21
Discrete Polyhedrization of a Lattice Point Set
150
13
Digital Partitions Encoding
163
12
Part III Geometry
Stability and Instability in Discrete Tomography
175
12
Point-to-Line Mappings and Hough Transforms
187
22
Digital Lines and Digital Convexity
209
20
Curvature Flow in Discrete Space
229
21
Hausdorff Sampling of Closed Sets into a Boundedly Compact Space
250
22
Cell Complexes and Digital Convexity
272
13
Part IV Multigrid Convergence
Approximation of 3D Shortest Polygons in Simple Cube Curves
285
14
Segmentation and Length Estimation of 3D Discrete Curves
299
19
Multigrid Convergence of Geometric Features
318
21
Length Estimation for Curves with Different Samplings
339
13
The 2-D Leap-Frog: Integrability, Noise, and Digitization
352
13
On Approximation of Jordan Surfaces in 3D
365
24
Part V Shape Similarity and Simplification
Similarity Measure Computation of Convex Polyhedra Revisited
389
11
Reversible Surface Skeletons of 3D Objects by Iterative Thinning of Distance Transforms
400
12
Distance Transformation and Skeletonization of 3D Pictures and Their Applications to Medical Images
412
17
About the Limiting Behaviour of Iterated Robust Morphological Operators
429
10
Collinearity and Weak Collinearity in the Digital Plane
439
16
Author Index
455