1. HCI/ComS 575X: Computational Perception Instructor: Alexander Stoytchev http://www.vrac.iastate.edu/~alexs

2. Mathematical Morphology HCI/ComS 575X: Computational Perception Iowa State University Copyright © Alexander Stoytchev

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

4. Reading for Next Lecture Jain, Kasturi, and Schunck (1995). Machine Vision, ``Chapter 4: Image Filtering,'' McGraw-Hill, pp. 112-139.

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

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

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

12. 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.

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

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

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

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

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

18. 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.

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

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

23. Dilation Results

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

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

27. Real Examples

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

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

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

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

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

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

36. Matlab Demos (the code is posted on the class web page)

37. THE END