$25
Problem 1: WARM-UP (10 points)
(a) The goal of this problem is to get familiar with converting a color image to a grayscale one. Please convert the given color image, sample1.jpg, to a grayscale image named 1_result.jpg.
(b) Please also perform horizontal flipping on sample1.jpg and output the result as 2_result.jpg.
sample1.jpg
Problem 2: IMAGE ENHANCEMENT (60 points)
Given gray-level images sample2.jpg, sample3.jpg and sample4.jpg, please follow the instructions below to create several new images.
(a) Decrease the brightness of sample2.jpg by dividing the intensity values by 5 and output the image as 3_result.jpg.
(b) Increase the brightness of 3_result.jpg by multiplying the intensity values by 5 and output the image as 4_result.jpg.
(c) Plot the histograms of sample2.jpg, 3_result.jpg and 4_result.jpg. What can you observe from these three histograms?
(d) Perform global histogram equalization on sample3.jpg and output the results as 5_result.jpg.
(e) Perform local histogram equalization on sample3.jpg and output the results as 6_result.jpg.
(f) Plot the histograms of 5_result.jpg and 6_result.jpg. What is the main difference between local and global histogram equalization?
(g) Please design a transfer function to enhance sample4.jpg as best as you can. Output the result as 7_result.jpg and specify all the parameters.
Show the resultant image(s) and the corresponding histogram(s). Please provide some discussions on the results as well.
Problem 3: NOISE REMOVAL
Given an original image named sample5.jpg and two images corrupted by noise as shown in sample6.jpg and sample7.jpg, please follow the instructions below to create some new images.
(a) Design proper filters to remove noise from sample6.jpg and sample7.jpg, and output the resultant images as 8_result.jpg and 9_result.jpg, respectively.
Please detail the steps of the denoising process and specify all the corresponding parameters. Provide some discussions about the reason why those filters and parameters are chosen.
(b) Compute the PSNR values of 8_result.jpg and 9_result.jpg and provide some discussions.
Appendix
Problem 1: WARM-UP sample1.jpg 400×560 color
Problem 2: IMAGE ENHANCEMENT sample2.jpg 400×560 gray-scale sample3.jpg 400×560 gray-scale sample4.jpg 400×560 gray-scale
Problem 3: NOISE REMOVAL sample5.jpg 400×560 gray-scale sample6.jpg 400×560 gray-scale sample7.jpg 400×560 gray-scale