1. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Digital Image Processing Spatial Domain Filtering: Part I

2. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Spatial Filtering w(-1,-1)w(-1,0)w(-1,1) w(0,-1)w(0,0)w(0,1) w(1,-1)w(1,0)w(1,1) Mask coefficients showing coordinate arrangement

3. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Convolution

4. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Convolution 1 12 111 2223 2133 2212 1322 Rotate 180 o 1 12 111 Convolution kernel, ω Input Image, f

5. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Convolution Input Image, f 3 2 1 2 2 1 3 2 32 21 22 325 3 2 1 2 2 1 3 2 32 21 22 32 1-2 24 111 1 12 111 Output Image, g

6. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3245 3 2 1 2 2 1 3 2 32 21 22 32 3-2 24 111 1 12 111 Input Image, f Output Image, g Convolution

7. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 32445 3 2 1 2 2 1 3 2 32 21 22 32 3-3 34-2 111 1 12 111 Input Image, f Output Image, g Convolution

8. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3244-25 3 2 1 2 2 1 3 2 32 21 22 32 1-3 16-2 111 1 12 111 Input Image, f Output Image, g Convolution

9. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3244 9 -25 3 2 1 2 2 1 3 2 32 21 22 32 2 14 221 1 12 111 Input Image, f Output Image, g Convolution

10. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 32 6 44 9 -25 3 2 1 2 2 1 3 2 32 21 22 32 1 32 222 1 12 111 Input Image, f Output Image, g Convolution

11. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 12 7 6 4 8 6 14 4 59 59 511 -25 Final output Image, g Convolution

12. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Correlation

13. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 1 12 111 2223 2133 2212 1322 Don’t rotate use it directly correlation kernel, ω Input Image f Correlation

14. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 325 3 2 1 2 2 1 3 2 32 21 22 32 121 -241 1 111 21 1 Input Image, f output Image, g Correlation

15. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 32105 3 2 1 2 2 1 3 2 32 21 22 32 312 -242 1 111 21 1 Input Image, f output Image, g Correlation

16. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3210 5 3 2 1 2 2 1 3 2 32 21 22 32 331 -342 1 111 21 1 Input Image, f output Image, g Correlation

17. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3210 155 3 2 1 2 2 1 3 2 32 21 22 32 133 62 1 111 21 1 Input Image, f output Image, g Correlation

18. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 3210 3 155 3 2 1 2 2 1 3 2 32 21 22 32 221 41 -2 1 111 21 1 Input Image, f output Image, g Correlation

19. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 3 2 1 2 2 1 3 2 32 21 22 32 4 10 3 155 3 2 1 2 2 1 3 2 32 21 22 32 122 -322 -2 2 111 21 1 Input Image, f output Image, g Correlation

20. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing 4 11 4 10 4 4 6 113 5-5 97 155 Final output Image, g Correlation

21. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Linear Spatial Filtering

22. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Smoothing Spatial Filters Types of Smoothing Filters : linear and nonlinear Smoothing Linear Filters : known as averaging filter or lowpass filters.

23. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Smoothing Linear Filters Box filter Weighted average filter

24. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Smoothing Linear Filters © 2002 R. C. Gonzalez & R. E. Woods Original3x3 5x5 9x9 15x1535x35

25. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Smoothing Linear Filters © 2002 R. C. Gonzalez & R. E. Woods original blurred thresholded

26. Gholamreza Anbarjafari, PhD Video Lecturers on Digital Image Processing Summary We have looked at: –What are spatial domain operations. –What are convolution and correlation. –What is smoothing linear filter Next time we will continue our talk about image enhancement in spatial domain by focusing on statistical terminology