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Mathematical Morphology and Its Applications to Image and Signal Processing

  • Book
  • © 1996

Overview

Editors:
  1. Petros Maragos

    1. Georgia Institute of Technology, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Ronald W. Schafer

    1. Georgia Institute of Technology, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Muhammad Akmal Butt

    1. Georgia Institute of Technology, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Computational Imaging and Vision (CIVI, volume 5)

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Table of contents (54 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    1. Introduction

      • Petros Maragos, Ronald W. Schafer, Muhammad Akmal Butt
      Pages 1-5

  3. Theory

    1. Metric Convexity in the Context of Mathematical Morphology

      • Pijush K. Ghosh, Henk J. A. M. Heijmans
      Pages 7-14

    2. Support Function and Minkowski Addition of Non-Convex Sets

      • Michel Schmitt
      Pages 15-22

    3. Lattice Operators Underlying Dynamic Systems

      • Juliette Mattioli, Luc Doyen, Laurent Najman
      Pages 23-30

    4. Comparison of Multiscale Morphology Approaches: PDE Implemented Via Curve Evolution Versus Chamfer Distance Transform

      • Muhammad Akmal Butt, Petros Maragos
      Pages 31-40

    5. An Attribute-Based Approach to Mathematical Morphology

      • Edmond Breen, Ronald Jones
      Pages 41-48

    6. Spatially-Variant Mathematical Morphology

      • Mohammed Charif-Chefchaouni, Dan Schonfeld
      Pages 49-56

    7. The Generalized Tailor Problem

      • J. B. T. M. Roerdink
      Pages 57-64

    8. Discrete Random Functions: Modeling and Analysis Using Mathematical Morphology

      • Balvinder Singh, M. U. Siddiqi
      Pages 65-72

    9. Morphological Sampling of Random Closed Sets

      • K. Sivakumar, J. Goutsias
      Pages 73-80

  4. Connectivity

    1. Connectivity on Complete Lattices

      • Jean Serra
      Pages 81-96

    2. Practical Extensions of Connected Operators

      • P. Salembier, A. Oliveras
      Pages 97-110

    3. Region Adjacency Graphs and Connected Morphological Operators

      • Fedde K. Potjer
      Pages 111-118

    4. Space Connectivity and Translation-Invariance

      • José Crespo
      Pages 119-126

  5. Filtering

    1. Morphological Filters for Dummies

      • Henk J. A. M. Heijmans
      Pages 127-137

    2. Alternating Sequential Filters by Adaptive-Neighborhood Structuring Functions

      • Ulisses De Mendonça Braga Neto
      Pages 139-146

    3. Quadratic Structuring Functions in Mathematical Morphology

      • Rein Van Den Boomgaard, Leo Dorst, Sherif Makram-Ebeid, John Schavemaker
      Pages 147-154

    4. MRL-Filters and Their Adaptive Optimal Design for Image Processing

      • Lúcio F. C. Pessoa, Petros Maragos
      Pages 155-162

    5. Weighted Composite Order-Statistics Filters

      • Dan Schonfeld
      Pages 163-170
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Keywords

About this book

Mathematical morphology (MM) is a powerful methodology for the quantitative analysis of geometrical structures. It consists of a broad and coherent collection of theoretical concepts, nonlinear signal operators, and algorithms aiming at extracting, from images or other geometrical objects, information related to their shape and size. Its mathematical origins stem from set theory, lattice algebra, and integral and stochastic geometry.
MM was initiated in the late 1960s by G. Matheron and J. Serra at the Fontainebleau School of Mines in France. Originally it was applied to analyzing images from geological or biological specimens. However, its rich theoretical framework, algorithmic efficiency, easy implementability on special hardware, and suitability for many shape- oriented problems have propelled its widespread diffusion and adoption by many academic and industry groups in many countries as one among the dominant image analysis methodologies.
The purpose of Mathematical Morphology and its Applications to Image and Signal Processing is to provide the image analysis community with a sampling from the current developments in the theoretical (deterministic and stochastic) and computational aspects of MM and its applications to image and signal processing. The book consists of the papers presented at the ISMM'96 grouped into the following themes:
  • Theory
  • Connectivity
  • Filtering
  • Nonlinear System Related to Morphology
  • Algorithms/Architectures
  • Granulometries, Texture
  • Segmentation
  • Image Sequence Analysis
  • Learning
  • Document Analysis
  • Applications

Editors and Affiliations

  • Georgia Institute of Technology, USA

    Petros Maragos, Ronald W. Schafer, Muhammad Akmal Butt

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