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Mathematical Morphology: 40 Years On

Proceedings of the 7th International Symposium on Mathematical Morphology, April 18-20, 2005

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Christian Ronse

    1. LSIIT, UMR 7005 CNRS-ULP, Illkirch, France

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  2. Laurent Najman

    1. A2SI-ESIEE/IGM, UMR 8049 CNRS-UMLV, Noisy-le-Grand, France

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  3. Etienne Decencière

    1. CMM, École des Mines de Paris, Fontainebleau, France

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  • Presents the more recent advances in mathematical morphology and related fields
  • High quality contributions
  • Several papers by mathematical morphology experts of international renown

Part of the book series: Computational Imaging and Vision (CIVI, volume 30)

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About this book

Mathematical Morphology is a speciality in Image Processing and Analysis, which considers images as geometrical objects, to be analyzed through their interactions with other geometrical objects. It relies on several branches of mathematics, such as discrete geometry, topology, lattice theory, partial differential equations, integral geometry and geometrical probability. It has produced fast and efficient algorithms for computer analysis of images, and has found applications in bio-medical imaging, materials science, geoscience, remote sensing, quality control, document processing and data analysis.

This book contains the 43 papers presented at the 7th International Symposium on Mathematical Morphology, held in Paris on April 18-20, 2005. It gives a lively state of the art of current research topics in this field. It also marks a milestone, the 40 years of uninterrupted development of this ever-expanding domain.

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Table of contents (43 papers)

  1. Front Matter

    Pages i-xvii
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  2. Morphological Operators

    1. Binary Decision Diagrams as a New Paradigm for Morphological Machines

      • Junior Barrera, Ronaldo Fumio Hashimoto
      Pages 3-12

    2. Image Filtering Using Morphological Amoebas

      • Romain Lerallut, Étienne Decencière, Fernand Meyer
      Pages 13-22

    3. Numerical Residues

      • Serge Beucher
      Pages 23-32

    4. Efficient Path Openings and Closings

      • Ben Appleton, Hugues Talbot
      Pages 33-42

    5. Structuring Elements Following the Optical Flow

      • Nicolas Laveau, Christophe Bernard
      Pages 43-52

    6. Recursive Interpolation Technique for Binary Images Based on Morphological Median Sets

      • Javier Vidal, Jose Crespo, Víctor Maojo
      Pages 53-62

  3. Connected Filters and Reconstruction

    1. Second-Order Connected Attribute Filters Using Max-Trees

      • Georgios K. Ouzounis, Michael H. F. Wilkinson
      Pages 65-74

    2. Transformations with Reconstruction Criteria: Image Segmentation and Filtering

      • Iván R. Terol-Villalobos, Jorge D. Mendiola-Santibañez
      Pages 75-84

    3. Attribute-Space Connected Filters

      • Michael H.F. Wilkinson
      Pages 85-94

    4. Vector-Attribute Filters

      • Erik R. Urbach, Niek J. Boersma, Michael H.F. Wilkinson
      Pages 95-104

    5. Ruminations on Tarjan’s Union-Find Algorithm and Connected Operators

      • Thierry Géraud
      Pages 105-116

    6. Labelled Reconstruction of Binary Objects: A Vector Propagation Algorithm

      • Michael Buckley, Ryan Lagerstrom
      Pages 117-128

    7. Grayscale Level Multiconnectivity

      • Ulisses Braga-Neto
      Pages 129-138

    8. Shape-Tree Semilattices

      • Renato Keshet
      Pages 139-148

  4. Segmentation

    1. Morphological Segmentations of Colour Images

      • Jean Serra
      Pages 151-176

    2. Fast Implementation of Waterfall Based on Graphs

      • Beatriz Marcotegui, Serge Beucher
      Pages 177-186

    3. Mosaics and Watersheds

      • Laurent Najman, Michel Couprie, Gilles Bertrand
      Pages 187-196

    4. A New Definition for the Dynamics

      • Gilles Bertrand
      Pages 197-206

    5. Watershed-Driven Region-Based Image Retrieval

      • I. Pratikakis, I. Vanhamel, H. Sahli, B. Gatos, S. Perantonis
      Pages 207-216
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Editors and Affiliations

  • LSIIT, UMR 7005 CNRS-ULP, Illkirch, France

    Christian Ronse

  • A2SI-ESIEE/IGM, UMR 8049 CNRS-UMLV, Noisy-le-Grand, France

    Laurent Najman

  • CMM, École des Mines de Paris, Fontainebleau, France

    Etienne Decencière

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