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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
Morphological Filtering and Enhancement
Morphological Gradients
Standard Gradient
Definition: Dilation Minus Erosion
Edge Enhancement Properties
Internal Gradient
Definition: Original Minus Erosion
Inner Edge Detection
External Gradient
Definition: Dilation Minus Original
Outer Edge Detection
Applications in Edge Detection
Top-Hat Transforms
White Top-Hat Transform
Definition: Image Minus Opening
Bright Feature Enhancement
Black Top-Hat Transform
Definition: Closing Minus Image
Dark Feature Enhancement
Applications
Background Subtraction
Feature Enhancement
Contrast Improvement
Morphological Smoothing
Alternating Sequential Filters
Opening-Closing Sequences
Closing-Opening Sequences
Noise Reduction Strategies
Parameter Selection
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5. Compound Morphological Operations
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7. Pattern Detection and Shape Analysis