Book description
Image processing and image analysis are typically important fields in information science and technology. By "image processing", we generally understand all kinds of operation performed on images (or sequences of images) in order to increase their quality, restore their original content, emphasize some particular aspect of the information or optimize their transmission, or to perform radiometric and/or spatial analysis. By "image analysis" we understand, however, all kinds of operation performed on images (or sequences of images) in order to extract qualitative or quantitative data, perform measurements and apply statistical analysis. Whereas there are nowadays many books dealing with image processing, only a small number deal with image analysis. The methods and techniques involved in these fields of course have a wide range of applications in our daily world: industrial vision, material imaging, medical imaging, biological imaging, multimedia applications, satellite imaging, quality control, traffic control, and so on
Table of contents
- Cover
- Contents
- Dedication Page
- Title Page
- Copyright Page
- Preface
- Introduction
- Elements of Mathematical Terminology
- PART 1: An Overview of Image Processing and Analysis (Ipa)
-
PART 2: Basic Mathematical Reminders for Gray-tone and Binary Image Processing and Analysis
- 7 Basic Reminders in Set Theory
-
8 Basic Reminders in Topology and Functional Analysis
- 8.1. Mathematical disciplines
- 8.2. Topological spaces
- 8.3. Metric spaces
- 8.4. Some particular kinds of points in topological and metric spaces
- 8.5. Some particular kinds of subsets in topological and metric spaces
- 8.6. Some particular topological spaces
- 8.7. Lipschitz and Gromov–Hausdorff distances
- 8.8. Topological vector spaces
- 8.9. Additional comments
- PART 3: The Main Mathematical Notions for the Spatial and Tonal Domains
-
PART 4: Ten Main Functional Frameworks for Gray Tone Images
- 11 The Algebraic and Order Functional Framework
- 12 The Morphological Functional Framework
- 13 The Integral Functional Framework
- 14 The Convolutional Functional Framework
- 15 The Differential Functional Framework
- 16 The Generalized Functional Framework
- 17 The Frequential Functional Framework
- 18 The Multiscale Functional Framework
- 19 The Variational Functional Framework
- 20 The Probabilistic Functional Framework
- Appendices
- Tables of Notations and Symbols
- Table of Acronyms
- Table of Latin Phrases
- Bibliography
- Index of Authors
- Index of Subjects
Product information
- Title: Mathematical Foundations of Image Processing and Analysis, Volume 1
- Author(s):
- Release date: June 2014
- Publisher(s): Wiley-ISTE
- ISBN: 9781848215467
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