Question

Suppose each image is blurred with a 3 x 3 averaging mask; how would the histograms change? What different values do you expect in each of the new histograms?

Answer 1

Suppose two histogram figures are as:

(a) The number of boundary points between the black and white regions is a whole lot larger inside the picture at the proper. When the pics are blurred, the boundary factors will give upward thrust to a larger range of different values for the picture at the proper, so the histograms of the 2 blurred images could be specific.

(b) To manage the border outcomes, we surround the picture with a border of 0s. We anticipate that photo is of length N ×N (the fact that the image is rectangular is obvious from the right photograph in the problem announcement). Blurring is implemented through a three×three masks whose coefficients are 1/9 You can write a code to calculate and plot the histograms for both figures. Please observe that one of a kind choices of N could cause extraordinary answers for the right parent. A large N might bring about a bigger number of 0/255 within the output histogram; while a smaller N might result in a smaller range of severe values. But you ought to make sure that the summation of the histogram packing containers equals to N ×N.