Mathematical Foundations of Image Processing and Analysis, Volume 1
by Jean-Charles Jean-Charles Pinoli Pinoli
Contents
Elements of Mathematical Terminology
PART 1: An Overview of Image Processing and Analysis (IPA)
1.1. Intensity images, pixels and gray tones
1.2. Scene, objects, context, foreground and background
1.3. Simple intensity image formation process models
1.4. The five main requirements for a relevant imaging approach
2 Gray-Tone Image Processing and Analysis
2.4. Importance of Human Vision
3.1. Scene, objects and context
3.2. Binary and multinary images
4 Binary Image Processing and Analysis
4.3. Binary image and object description
4.5. Object analysis, recognition and formation
5 Key Concepts and Notions for IPA
5.2. Continuity and discreteness
5.3. Scale, resolution and definition
6 Mathematical Imaging Frameworks
6.1. Mathematical imaging frameworks
6.2. Image representation and image modeling
6.3. A mathematical imaging methodology
PART 2: Basic Mathematical Reminders for Gray-Tone and Binary Image Processing and Analysis
7 Basic Reminders in Set Theory
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