Committee login






Small thumbnail

Reliability Investigation of LED Devices for Public Light Applications

Durability, Robustness and Reliability of Photonic Devices Set

Small thumbnail

Aerospace Actuators 2

Signal-by-Wire and Power-by-Wire

Small thumbnail

Flash Memory Integration

Performance and Energy Considerations

Small thumbnail

Mechanics of Aeronautical Solids, Materials and Structures

Small thumbnail

Engineering Investment Process

Making Value Creation Repeatable

Small thumbnail

Space Strategy

Small thumbnail

Distributed Systems

Concurrency and Consistency

Small thumbnail

Fatigue of Textile and Short Fiber Reinforced Composites

Durability and Ageing of Organic Composite Materials Set – Volume 1

Small thumbnail

Management of the Effects of Coastal Storms

Policy, Scientific and Historical Perspectives

Small thumbnail

Computational Color Science

Variational Retinex-like Methods

Small thumbnail

Mathematical Foundations of Image Processing and Analysis 2

Jean-Charles Pinoli, Ecole Nationale Supérieure des Mines, Saint-Etienne, France

ISBN: 9781848217485

Publication Date: June 2014   Hardback   496 pp.

195.00 USD

Add to cart


Ebook Ebook


Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics.
This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridge between the pure and applied mathematical disciplines, and the processing and analysis of gray-tone and binary images. It is accessible to readers who have neither extensive mathematical training, nor peer knowledge in Image Processing and Analysis.
It is a self-contained book focusing on the mathematical notions, concepts, operations, structures, and frameworks that are beyond or involved in Image Processing and Analysis. The notations are simplified as far as possible in order to be more explicative and consistent throughout the book and the mathematical aspects are systematically discussed in the image processing and analysis context, through practical examples or concrete illustrations. Conversely, the discussed applicative issues allow the role of mathematics to be highlighted.
Written for a broad audience – students, mathematicians, image processing and analysis specialists, as well as other scientists and practitioners – the author hopes that readers will find their own way of using the book, thus providing a mathematical companion that can help mathematicians become more familiar with image processing and analysis, and likewise, image processing and image analysis scientists, researchers and engineers gain a deeper understanding of mathematical notions and concepts.


Part 5. Twelve Main Geometrical Frameworks for Binary Images
21. The Set-Theoretic Framework.
22. The Topological Framework.
23. The Euclidean Geometric Framework.
24. The Convex Geometric Framework.
25. The Morphological Geometric Framework.
26. The Geometric and Topological Framework.
27. The Measure-Theoretic Geometric Framework.
28. The Integral Geometric Framework.
29. The Differential Geometric Framework.
30. The Variational Geometric Framework.
31. The Stochastic Geometric Framework.
32. The Stereological Framework.
Part 6. Four Specific Geometrical Frameworks for Binary Images
33. The Granulometric Geometric Framework.
34. The Morphometric Geometric Framework.
35. The Fractal Geometric Framework.
36. The Textural Geometric Framework.
Part 7. Four ‘Hybrid’ Frameworks for Gray-Tone and Binary Images
37. The Interpolative Framework.
38. The Bounded-Variation Framework.
39. The Level Set Framework.
40. The Distance-Map Framework.

About the Authors

Jean-Charles Pinoli is Full Professor at Ecole Nationale Supérieure des Mines, Saint-Etienne, France.


DownloadTable of Contents - PDF File - 73 Kb

Related Titles

0.01745 s.