1. Morphological Image Processing
Extracting meaning by dilation, erosion, opening, and closing…

2. DRAFT: Copyright GA Tagliarini, PhD
Half-tone Examples
Laser printed images
Old newspaper images
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DRAFT: Copyright GA Tagliarini, PhD

3. Notation From Set Theory
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Examples A B A B A B A A B
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The Cross-product
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6. Focus On Half-toned Images
Morphological image processing assumes objects that are represented in images using only two “color” values say black and white.
The coordinates of the black (or white) pixels form a complete description of the objects in the image.
An object in a half-toned image is specified completely as a subset A of Z2
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DRAFT: Copyright GA Tagliarini, PhD

7. Notation Specific To Morphological Processing
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8. Dilation By A Circular Structuring Element
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9. Dilation: By A Rectangular Structuring Element
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10. Dilation: By A Structuring Element Whose Reflection Is Not Itself
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11. Erosion: By A Circular Structuring Element
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12. Erosion: By A Rectangular Structuring Element
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13. Erosion: By A Structuring Element Whose Reflection Is Not Itself
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Dilation and Erosion
Dilation
Expands or inflates an object
Fills in gaps
Erosion
Contracts an object
Depending upon the structuring element
May exaggerate openings
May eliminate all but a skeleton of the object
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DRAFT: Copyright GA Tagliarini, PhD

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Opening and Closing
Opening is erosion followed by dilation
Closing is dilation followed by erosion
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DRAFT: Copyright GA Tagliarini, PhD

16. Opening: By A Circular Structuring Element
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17. Opening: By A Circular Structuring Element
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18. Opening: By A Rectangular Structuring Element
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19. Opening: By A Rectangular Structuring Element
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20. Opening: By A Structuring Element Whose Reflection Is Not Itself
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21. Opening: By A Structuring Element Whose Reflection Is Not Itself
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22. Closing By A Circular Structuring Element
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