Morphology

  1. Primary Morphological Operations
    1. Dilation
      1. Mathematical Definition
        1. Minkowski Addition Formulation
          1. Set-Theoretic Definition
          2. Geometric Interpretation
            1. Expansion of Objects
              1. Growth Process
              2. Properties
                1. Increasingness
                  1. Translation Invariance
                    1. Associativity
                      1. Commutativity with Respect to Structuring Element
                      2. Effects on Image Features
                        1. Bridging Small Gaps
                          1. Expanding Object Boundaries
                            1. Filling Small Holes
                          2. Erosion
                            1. Mathematical Definition
                              1. Minkowski Subtraction Formulation
                                1. Set-Theoretic Definition
                                2. Geometric Interpretation
                                  1. Shrinking of Objects
                                    1. Removal Process
                                    2. Properties
                                      1. Anti-Extensivity
                                        1. Translation Invariance
                                          1. Associativity
                                          2. Effects on Image Features
                                            1. Removing Small Objects
                                              1. Shrinking Object Boundaries
                                                1. Separating Connected Objects
                                              2. Duality Relationship
                                                1. Mathematical Duality
                                                  1. Complementarity Properties
                                                    1. De Morgan's Laws in Morphology

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                                                  3. Structuring Elements

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                                                  5. Compound Morphological Operations