Book Volume 2243 2001

Digital and Image Geometry

Advanced Lectures

Editors:

ISBN: 978-3-540-43079-7 (Print) 978-3-540-45576-9 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages I-VIII

  2. Topology

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      Chapter

      Pages 3-16

      An Axiomatic Approach to Digital Topology

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      Chapter

      Pages 17-37

      Generic Programming Techniques that Make Planar Cell Complexes Easy to Use

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      Chapter

      Pages 38-58

      Algorithms and Data Structures for Computer Topology

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      Chapter

      Pages 59-74

      Computer Presentation of 3-Manifolds

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      Chapter

      Pages 75-88

      “Continuous” Multifunctions in Discrete Spaces with Applications to Fixed Point Theory

  3. Representation

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      Chapter

      Pages 91-108

      SpaMod: Design of a Spatial Modeling Tool

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      Chapter

      Pages 108-128

      Introduction to Combinatorial Pyramids

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      Chapter

      Pages 129-149

      Representing Vertex-Based Simplicial Multi-complexes

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      Chapter

      Pages 150-162

      Discrete Polyhedrization of a Lattice Point Set

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      Chapter

      Pages 163-172

      Digital Partitions Encoding

  4. Geometry

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      Chapter

      Pages 175-186

      Stability and Instability in Discrete Tomography

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      Chapter

      Pages 187-208

      Point-to-Line Mappings and Hough Transforms

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      Chapter

      Pages 209-228

      Digital Lines and Digital Convexity

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      Chapter

      Pages 229-249

      Curvature Flow in Discrete Space

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      Chapter

      Pages 250-271

      Hausdorff Sampling of Closed Sets into a Boundedly Compact Space

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      Chapter

      Pages 272-282

      Cell Complexes and Digital Convexity

  5. Multigrid Convergence

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      Chapter

      Pages 285-298

      Approximation of 3D Shortest Polygons in Simple Cube Curves

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      Chapter

      Pages 299-317

      Segmentation and Length Estimation of 3D Discrete Curves

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      Chapter

      Pages 318-338

      Multigrid Convergence of Geometric Features

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      Chapter

      Pages 339-351

      Length Estimation for Curves with Different Samplings

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