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Mathematics
Morphology
1. Introduction to Mathematical Morphology
2. Foundational Mathematical Concepts
3. Structuring Elements
4. Primary Morphological Operations
5. Compound Morphological Operations
6. Morphological Filtering and Enhancement
7. Pattern Detection and Shape Analysis
8. Grayscale Morphology
9. Advanced Morphological Concepts
10. Theoretical Frameworks and Extensions
11. Implementation and Computational Aspects
12. Practical Applications
6.
Morphological Filtering and Enhancement
6.1.
Morphological Gradients
6.1.1.
Standard Gradient
6.1.1.1.
Definition: Dilation Minus Erosion
6.1.1.2.
Edge Enhancement Properties
6.1.2.
Internal Gradient
6.1.2.1.
Definition: Original Minus Erosion
6.1.2.2.
Inner Edge Detection
6.1.3.
External Gradient
6.1.3.1.
Definition: Dilation Minus Original
6.1.3.2.
Outer Edge Detection
6.1.4.
Applications in Edge Detection
6.2.
Top-Hat Transforms
6.2.1.
White Top-Hat Transform
6.2.1.1.
Definition: Image Minus Opening
6.2.1.2.
Bright Feature Enhancement
6.2.2.
Black Top-Hat Transform
6.2.2.1.
Definition: Closing Minus Image
6.2.2.2.
Dark Feature Enhancement
6.2.3.
Applications
6.2.3.1.
Background Subtraction
6.2.3.2.
Feature Enhancement
6.2.3.3.
Contrast Improvement
6.3.
Morphological Smoothing
6.3.1.
Alternating Sequential Filters
6.3.1.1.
Opening-Closing Sequences
6.3.1.2.
Closing-Opening Sequences
6.3.2.
Noise Reduction Strategies
6.3.3.
Parameter Selection
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5. Compound Morphological Operations
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7. Pattern Detection and Shape Analysis