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Digital and Image Geometry

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  • Textbook
  • © 2001

Overview

Editors:
  1. Gilles Bertrand

    1. Groupe ESIEE, Cité Descartes, Noisy-le-Grand, France

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  2. Atsushi Imiya

    1. Media Technology Division, Chiba University, Inst. of Media and Information Technology, Chiba, Japan

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    You can also search for this editor in PubMed   Google Scholar

  3. Reinhard Klette

    1. The University of Auckland, CITR Tamaki, Tamaki Campus, Auckland, New Zealand

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 2243)

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Table of contents (27 chapters)

  1. Front Matter

    Pages I-VIII
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  3. Representation

    1. SpaMod: Design of a Spatial Modeling Tool

      • Eric Andres, Rodolphe Breton, Pascal Lienhardt
      Pages 91-108

    2. Introduction to Combinatorial Pyramids

      • Luc Brun, Walter Kropatsch
      Pages 108-128

    3. Representing Vertex-Based Simplicial Multi-complexes

      • Emanuele Danovaro, Leila De Floriani, Paola Magillo, Enrico Puppo
      Pages 129-149

    4. Discrete Polyhedrization of a Lattice Point Set

      • Yukiko Kenmochi, Atsushi Imiya
      Pages 150-162

    5. Digital Partitions Encoding

      • Joviša Žunić
      Pages 163-172

  4. Geometry

    1. Stability and Instability in Discrete Tomography

      • Andreas Alpers, Peter Gritzmann, Lionel Thorens
      Pages 175-186

    2. Point-to-Line Mappings and Hough Transforms

      • Prabir Bhattacharya, Azriel Rosenfeld, Isaac Weiss
      Pages 187-208

    3. Digital Lines and Digital Convexity

      • Ulrich Eckhardt
      Pages 209-228

    4. Curvature Flow in Discrete Space

      • Atsushi Imiya
      Pages 229-249

    5. Hausdorff Sampling of Closed Sets into a Boundedly Compact Space

      • Christian Ronse, Mohamed Tajine
      Pages 250-271

    6. Cell Complexes and Digital Convexity

      • Julian Webster
      Pages 272-282

  5. Multigrid Convergence

    1. Approximation of 3D Shortest Polygons in Simple Cube Curves

      • Thomas Bülow, Reinhard Klette
      Pages 285-298

    2. Segmentation and Length Estimation of 3D Discrete Curves

      • David Coeurjolly, Isabelle Debled-Rennesson, Olivier Teytaud
      Pages 299-317

    3. Multigrid Convergence of Geometric Features

      • Reinhard Klette
      Pages 318-338
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Keywords

About this book

Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing.
This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.

Editors and Affiliations

  • Groupe ESIEE, Cité Descartes, Noisy-le-Grand, France

    Gilles Bertrand

  • Media Technology Division, Chiba University, Inst. of Media and Information Technology, Chiba, Japan

    Atsushi Imiya

  • The University of Auckland, CITR Tamaki, Tamaki Campus, Auckland, New Zealand

    Reinhard Klette

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