Image Processing and Mathematical Morphology : Fundamentals and Applications book cover
1st Edition

Image Processing and Mathematical Morphology
Fundamentals and Applications

ISBN 9781420089431
Published March 23, 2009 by CRC Press
439 Pages 229 B/W Illustrations

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Book Description

In the development of digital multimedia, the importance and impact of image processing and mathematical morphology are well documented in areas ranging from automated vision detection and inspection to object recognition, image analysis and pattern recognition. Those working in these ever-evolving fields require a solid grasp of basic fundamentals, theory, and related applications—and few books can provide the unique tools for learning contained in this text.

Image Processing and Mathematical Morphology: Fundamentals and Applications is a comprehensive, wide-ranging overview of morphological mechanisms and techniques and their relation to image processing. More than merely a tutorial on vital technical information, the book places this knowledge into a theoretical framework. This helps readers analyze key principles and architectures and then use the author’s novel ideas on implementation of advanced algorithms to formulate a practical and detailed plan to develop and foster their own ideas. The book:

  • Presents the history and state-of-the-art techniques related to image morphological processing, with numerous practical examples
  • Gives readers a clear tutorial on complex technology and other tools that rely on their intuition for a clear understanding of the subject
  • Includes an updated bibliography and useful graphs and illustrations
  • Examines several new algorithms in great detail so that readers can adapt them to derive their own solution approaches

This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.

Table of Contents

Introduction to Mathematical Morphology

Basic Concept in Digital Image Processing

Brief History of Mathematical Morphology

Essential Morphological Approach to Image Analysis

Scope of This Book

Binary Morphology

Set Operations on Binary Images

Logical Operations on Binary Images

Binary Dilation

Binary Erosion

Opening and Closing

Hit-or-Miss Transformation

Grayscale Morphology

Grayscale Dilation and Erosion

Grayscale Dilation Erosion Duality Theorem

Grayscale Opening and Closing

Basic Morphological Algorithms

Boundary Extraction

Region Filling

Extraction of Connected Components

Convex Hull





Morphological Edge Operator

Basic Morphological Filters

Alternating Sequential Filters

Recursive Morphological Filters

Soft Morphological Filters

OSSM Filters

RSM Filters (RSMFs)

ROSSM Filters

Regulated Morphological Filters

Fuzzy Morphological Filters

Distance Transformation

DT by Iterative Operations

DT by Mathematical Morphology

Approximation of Euclidean Distances

Decomposition of Distance SEs

Iterative Erosion Algorithm

Two Scan–Based Algorithm

Three-Dimensional Euclidean Distance

Acquiring Approaches

Deriving Approaches

7 Feature Extraction

Edge Linking by MM

Corner Detection by Regulated Morphology

Shape Database with Hierarchical Features

Corner and Circle Detection

Size Histogram

Object Representation

Object Representation and Tolerances

Skeletonization or MA Transformation

Morphological Shape Description

Decomposition of Morphological Structuring Elements

Decomposition of Geometric-Shaped SEs

Decomposition of Binary SEs

Decomposition of Grayscale SEs

Architectures for Mathematical Morphology

Threshold Decomposition of Grayscale Morphology into Binary Morphology

Implementing Morphological Operations Using Programmable Neural Networks

MLP as Processing Modules

A Systolic Array Architecture

Implementation on Multicomputers

General Sweep Mathematical Morphology

Theoretical Development of General Sweep MM

Blending of Sweep Surfaces with Deformations

Image Enhancement

Edge Linking

Geometric Modeling and Sweep MM

Formal Language and Sweep Morphology


Parsing Algorithms

Morphological Approach to Shortest Path Planning

Relationships between Shortest Path Finding and MM

Rotational MM

The Shortest Path-Finding Algorithm

Experimental Results and Discussions

Dynamic Rotational MM

The Rule of Distance Functions in Shortest Path Planning


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