Najman, Laurent

Mathematical Morphology: From Theory to Applications

Najman, Laurent - Mathematical Morphology: From Theory to Applications, ebook


Ebook, ePUB with Adobe DRM
ISBN: 9781118600856
DRM Restrictions

Printing152 pages with an additional page accrued every 5 hours, capped at 152 pages
Copy to clipboard5 excerpts

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.

Keywords: introduction; najman; laurent; dilations; first; mathematical morphology; transform; hierarchies; foundations; ronse; morphology; algebraic; christian; lattices; discrete; watersheds; vertices; graph; cuts; edges; watersheds, Pattern Analysis, Pattern Analysis

John Wiley and Sons, Inc.
Publication year
Page amount
507 pages
Printed ISBN

Similar titles