# Image Processing & Mathematical Morphology

ByMathematics, Technology & Engineering

— — Posted in#### Image Processing and Mathematical Morphology

by Frank Y. Shih

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.

#### Mathematical Morphology in Image Processing

by Edward Dougherty

#### Mathematical Morphology in Image Processing

by Edward Dougherty

#### Mathematical Morphology and Its Applications to Image Processing

by Jean Serra, Pierre Soille

MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.

#### Hands-on Morphological Image Processing

by Edward R. Dougherty, Roberto A. Lotufo

#### Mathematical Morphology and Its Application to Signal and Image Processing

by Michael H. F. Wilkinson, Jos B.T.M. Roerdink

#### Mathematical Morphology and Its Applications to Signal and Image Processing

by Jesús Angulo, Santiago Velasco-Forero, Fernand Meyer

The 36 revised full papers presented together with 4 short papers were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on algebraic theory, max-plus and max-min mathematics; discrete geometry and discrete topology; watershed and graph-based segmentation; trees and hierarchies; topological and graph-based clustering, classification and filtering; connected operators and attribute filters; PDE-based morphology; scale-space representations and nonlinear decompositions; computational morphology; object detection; and biomedical, material science and physical applications.

#### Mathematical Morphology and Its Applications to Image and Signal Processing

by John Goutsias, Luc Vincent, Dan S. Bloomberg

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.

#### Mathematical Morphology and its Applications to Image and Signal Processing

by Henk J.A.M. Heijmans, Jos Roerdink

Among the areas covered are: digitization and connectivity, skeletonization, multivariate morphology, morphological segmentation, color image processing, filter design, gray-scale morphology, fuzzy morphology, decomposition of morphological operators, random sets and statistical inference, differential morphology and scale-space, morphological algorithms and applications.

Audience: This volume will be of interest to research mathematicians and computer scientists whose work involves mathematical morphology, image and signal processing.

#### Mathematical Morphology

by Laurent Najman, Hugues Talbot

*Mathematical Morphology* allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foundation, a large body of applications and an efficient implementation.

The book is divided into five parts and includes 20 chapters. The five parts are structured as follows:

- Part I sets out the fundamental aspects of the discipline, starting with a general introduction, followed by two more theory-focused chapters, one addressing its mathematical structure and including an updated formalism, which is the result of several decades of work.
- Part II extends this formalism to some non-deterministic aspects of the theory, in particular detailing links with other disciplines such as stereology, geostatistics and fuzzy logic.
- Part III addresses the theory of morphological filtering and segmentation, featuring modern connected approaches, from both theoretical and practical aspects.
- Part IV features practical aspects of mathematical morphology, in particular how to deal with color and multivariate data, links to discrete geometry and topology, and some algorithmic aspects; without which applications would be impossible.
- Part V showcases all the previously noted fields of work through a sample of interesting, representative and varied applications.