Morphological Image Operators

Morphological Image Operators

| HENK J.A.M. HEIJMANS
The book "Morphological Image Operators" by Henk J.A.M. Heijmans provides a comprehensive treatment of morphological image processing techniques. It begins with foundational concepts and historical context in Chapter 1, followed by an exploration of complete lattices and their properties in Chapter 2. Chapter 3 delves into lattice operators, adjunctions, and various morphological operations such as openings and closings. Chapter 4 focuses on translation-invariant operators, including hit-or-miss operators, dilation, erosion, and their applications in binary and grayscale images. Chapter 5 examines adjunctions, dilations, and erosions in more detail, covering T-invariance, self-dual and Boolean lattices, and representation theorems. Chapter 6 discusses openings and closings, including algebraic theory, adjunctional openings, and nonabelian cases. Chapter 7 introduces topology and metrics, while Chapter 8 addresses discretization of images and operators. Chapter 9 covers convexity, geodesic distance, and discrete metric spaces. Chapter 10 provides an introduction to admissible complete lattices, and subsequent chapters explore morphology for grayscale images, morphological filters, and filtering and iteration techniques. The book concludes with a bibliography, notation index, and subject index.The book "Morphological Image Operators" by Henk J.A.M. Heijmans provides a comprehensive treatment of morphological image processing techniques. It begins with foundational concepts and historical context in Chapter 1, followed by an exploration of complete lattices and their properties in Chapter 2. Chapter 3 delves into lattice operators, adjunctions, and various morphological operations such as openings and closings. Chapter 4 focuses on translation-invariant operators, including hit-or-miss operators, dilation, erosion, and their applications in binary and grayscale images. Chapter 5 examines adjunctions, dilations, and erosions in more detail, covering T-invariance, self-dual and Boolean lattices, and representation theorems. Chapter 6 discusses openings and closings, including algebraic theory, adjunctional openings, and nonabelian cases. Chapter 7 introduces topology and metrics, while Chapter 8 addresses discretization of images and operators. Chapter 9 covers convexity, geodesic distance, and discrete metric spaces. Chapter 10 provides an introduction to admissible complete lattices, and subsequent chapters explore morphology for grayscale images, morphological filters, and filtering and iteration techniques. The book concludes with a bibliography, notation index, and subject index.
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Understanding Morphological image operators