3) Consider the two grayscale images below They are both 256x256 pixels in size.

Question

3) Consider the two grayscale images below They are both 256x256 pixels in size. Image (a) has intensity value 150 in its left half and intensity value 50 in its right half. Image (b) is a checkerboard with squares measuring 32x32 pixels, half of intensity value 150 and the other half of intensity value 5 (a) Do these two images have the same histogram? Briefly state why or why not. (b) Now, suppose you perform histogram equalization on the two images. Do the resulting images have the same histogram? Briefly state why or why not. (c) Suppose you blur each of the original images with a 3x3 averaging mask. Do the resulting images have the same histogram? Briefly state why or why not.

Explanation / Answer

a) Each column in the histogram represents how many pixels in an imagehave the pixel value represented by the column irrespective of their location in image. So two images wil have same histogram because equal number of pixels in both images have same pixel values.

b) Histogram equalization method increases the global contrast of images. So images with more contrasting pixels (where twp pixel values are totally different like edges) will have more change in pixels. The first image is lesser contrasting pixels than second image because second image has more edges than first. So their histogram wont emain same.

c) Since average mask uses same values for all values of mask, so the change in same valued pixel value will be const. So the histograms remain same.

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