Mathematical Morphology and Its Applications to Image and Signal Processing

1. Front Matter

   Pages i-ix

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2. Theory

   1. Introduction

      Pages 1-2

   2. A Morphological View on Traditional Signal Processing

      • Renato Keshet

      Pages 3-12

   3. From the Sup-Decomposition to A Sequential Decomposition

      • Ronaldo F. Hashimoto, Junior Barrera, Edward R. Dougherty

      Pages 13-22

   4. Decomposition of Separable Concave Structuring Functions

      • R. Van Den Boomgaard, E. A. Engbers, A. W. M. Smeulders

      Pages 23-31

   5. Minkowski Sum Volume Minimization for Convex Polyhedra

      • Alexander V. Tuzikov, Stanislav A. Sheynin

      Pages 33-40

   6. Topological Properties of Hausdorff Discretizations

      • Mohamed Tajine, Christian Ronse

      Pages 41-50

   7. Vectorial Levelings and Flattenings

      • Fernand Meyer

      Pages 51-60

3. A Lattice Control Model of Fuzzy Dynamical Systems in State-Space

   • Petros Maragos, Giorgos Stamou, Spyros Tzafestas

   Pages 61-70

4. Shape Analysis and Interpolation

   1. A Morphological Interpolation Approach — Geodesic Set Definition in Case of Empty Intersection

      • I. Granado, N. Sirakov, F. Muge

      Pages 71-80

   2. The Morphological-Affine Object Deformation

      • Marcin Iwanowski, Jean Serra

      Pages 81-90

   3. Affine Invariant Mathematical Morphology Applied to A Generic Shape Recognition Algorithm

      • J. L. Lisani, L. Moisan, P. Monasse, J. M. Morel

      Pages 91-98

5. Filtering

   1. Folding Induced Self-Dual Filters

      • Andrew J. H. Mehnert, Paul T. Jackway

      Pages 99-108

   2. Flexible Linear Openings and Closings

      • Michael Buckley, Hugues Talbot

      Pages 109-118

   3. Some Applications of Aperture Filters

      • R. Hirata Jr, Edward R. Dougherty, Junior Barrera

      Pages 119-128

   4. GA Optimisation of Multidimensional Grey-Scale Soft Morphological Filters with Applications in Archive Film Restoration

      • Neal R. Harvey, Stephen Marshall

      Pages 129-138

6. Connectivity and Connected Operators

   1. New Insight on Digital Topology

      • G. J. F. Banon

      Pages 139-148

   2. Approximate Connectivity and Mathematical Morphology

      • Antony T. Popov

      Pages 149-158

   3. Multiresolution Connectivity: An Axiomatic Approach

      • Ulisses M. Braga-Neto, John Goutsias

      Pages 159-168

   4. Connected Operators Based on Region-Tree Pruning

      • Philippe Salembier, Luis Garrido

      Pages 169-178

Mathematical morphology is a powerful methodology for the processing and analysis of geometric structure in signals and images. This book contains the proceedings of the fifth International Symposium on Mathematical Morphology and its Applications to Image and Signal Processing, held June 26-28, 2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the most recent theoretical and practical developments of mathematical morphology and its applications to image and signal processing. Areas covered include: decomposition of structuring functions and morphological operators, morphological discretization, filtering, connectivity and connected operators, morphological shape analysis and interpolation, texture analysis, morphological segmentation, morphological multiresolution techniques and scale-spaces, and morphological algorithms and applications.
Audience: The subject matter of this volume will be of interest to electrical engineers, computer scientists, and mathematicians whose research work is focused on the theoretical and practical aspects of nonlinear signal and image processing. It will also be of interest to those working in computer vision, applied mathematics, and computer graphics.

• 3D
• Augmented Reality
• Mapping
• filter
• image processing
• topology

• Johns Hopkins University, Baltimore

  John Goutsias

• Xerox, Palo Alto

  Luc Vincent, Dan S. Bloomberg

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