Histogram problem Ppt.pptx
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The document discusses two histogram problems. The first problem involves calculating the histogram of a grayscale image with pixel intensities from 0 to 7. The second problem performs histogram equalization on an image with values from 1 to 5. Histogram equalization calculates the probability density function and cumulative density function to map the pixel values to a new range from 0 to 7.
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22CYT12-Unit-V-E Waste and its Management.ppt
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- 1. My Presentation topic is on HISTOGRAM PROBLEMS
- 2. First We will Learn About Histogram :- ➢ The histogram of a whole image contains global description of the appearance of the picture and can be modified to a different form in order to enhance the image. ➢ If r represents the gray levels of the pixels in the image to be enhanced. We normalize the pixel intensities so that r lies between 0 and 1. E.g for an image r takes values from say 0 to 7.
- 3. ➢ We divide the intensities in the image by 7 so that r lies between 0 to 1. ➢ r=0 represents black and r=1 represents white in the grayscale.
- 4. HISTOGRAM PROBLEMS :- 1. Original Image :- Gray level (rk) 0 1 2 3 4 5 6 7 No. of pixels (nk) 790 1023 850 656 329 245 122 81
- 5. Soln:- Gray level (rk) No. of Pixels (nk) PDF (nk/n) CDF (L-1)*CDF sk 0 790 0.19 0.19 1.33 1 1 1023 0.25 0.44 3.08 3 2 850 0.21 0.65 4.55 5 3 656 0.16 0.81 5.67 6 4 329 0.08 0.89 6.23 6 5 245 0.06 0.95 6.65 7 6 122 0.03 0.98 6.86 7 7 81 0.02 1 7 7 TOTAL 4096 1
- 6. Modified Image :- Gray level (rk) 0 1 2 3 4 5 6 7 No. of pixels (nk) 0 790 0 1023 0 850 656 329 245 122 81
- 7. 2. Perform Histogram equalization for the following image 1 2 1 1 1 2 5 3 5 2 2 5 5 5 2 2 5 3 5 2 1 1 1 2 1 f(x,y) = Soln :- Max Value = 5 20 = 1 21 = 2 22 = 4 23 = 8 L = 8 L-1 = 7
- 8. Gray level (rk) 0 1 2 3 4 5 6 7 No. of pixels (nk) 0 8 8 2 0 7 0 0
- 9. Gray level (rk) No. of Pixels (nk) PDF (nk/n) CDF (L-1)*CDF sk 0 0 0 0 0 0 1 8 0.32 0.32 2.24 2 2 8 0.32 0.64 4.48 4 3 2 0.08 0.72 5.04 5 4 0 0 0.72 5.04 5 5 7 0.28 1 7 7 6 0 0 1 7 7 7 0 0 1 7 7 TOTAL 25 1
- 10. Gray level (rk) 0 1 2 3 4 5 6 7 No. of pixels (nk) 0 2 4 5 5 7 7 7 1 2 1 1 1 2 5 3 5 2 2 5 5 5 2 2 5 3 5 2 1 1 1 2 1 INPUT IMAGE 1 2 1 1 1 2 5 3 5 2 2 5 5 5 2 2 5 3 5 2 1 1 1 2 1 OUTPUT IMAGE
- 11. THANK YOU