1. HCI / CprE / ComS 575: Computational Perception
Instructor: Alexander Stoytchev

2. Mathematical Morphology
HCI/CprE/ComS 575: Computational Perception
Iowa State University, Ames, IA
Copyright © Alexander Stoytchev

3. Reading for Today’s Lecture
Haralick and Shapiro (1993). Computer and Robot Vision, "Chapter 5: Mathematical Morphology," Addison-Wesley.

4. Readings for Next Lecture
Start reading the OpenCV Book.
OpenCV Tutorial

5. Reading for Next Week
Jain, Kasturi, and Schunck (1995). Machine Vision, ``Chapter 4: Image Filtering,'' McGraw-Hill, pp
Burt, P., and Adelson, E. (1983) “The Laplacian Pyramid as a Compact Image Code,” IEEE Transactions on Communication, Vol. COM-3l, No. 4, pp , April 1983.

6. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

7. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

8. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

9. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

10. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

11. And so on …. until we reach the first pixel of the larger image

12. Images and Structuring Elements
origin
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

13. Erosion
Erosion of an image by a structuring element results in an image that gives all locations where the structuring element is contained in the image.

14. Examples of Pixels that will be deleted
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

15. Examples of Pixels that will be deleted
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

16. Erosion Results
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

17. Another Example
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

18. Yet Another Example
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

19. Dilation
The union of the translations of the image A by the 1 pixels of the image B is called the dilation of A by B.

20. Dilation Example
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

21. Examples of pixels that will be added
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

22. Examples of pixels that will be added
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

23. Examples of pixels that will be added (in fact, all black pixels of the SE are added)
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

24. Dilation Results

25. [Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

26. [Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

27. Notation Erosion Dilation
[Jain, Kasturi, and Schunck (1995). Machine Vision, Ch. 2]

28. Real Examples

29. Segmenting the Body and Handle
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

30. Horizontal & Vertical Lines
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

31. [Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

32. Circles & Lines
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

33. Clustering
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

34. Chip
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

35. [Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

36. Algebraic Relations
[Haralick and Shapiro (1993). “Computer and Robot Vision,” Ch. 5 ]

37. Matlab Demos

38. THE END