1.7. Give an image segment below 0 0 0 1 1 1 0 0 0 0 1 2 2 1 1 0 0 1 1 2 3 2 1 0 1 1 1 2 3 3 2 2 1 1 2 3 4 6 5 3 1 2 3 5 5 6 6 2 1 2 4 5 6 7 7 2 0 0 4 4 5 6 0 0 (a) Find the histogram of the image segment. (b) Show the new image segment if a histogram equalization process is applied to it (over the intensity range of 0 to 7)? (c) Equalize the image for the original intensity levels 0 to 2 to new intensity levels of 0 to 4, and the original intensity levels 3 to 7 to new intensity levels of 5 to 7, derive the q(p) equations for each of these two transformations (where p is the original pixel intensity, and q(p) is the new intensity of the pixel), and show the new image segment. (d) Discuss the difference between the original image and the image resulting from applying the operation of (b) and (c) above respectively. (e) Derive the general formulas for the equalization that transforms the original pixel intensities in the range of (0 to a) to the range of (0 to b), where (b> a); and original pixel intensities in (a to M) to (b to M). 1.7. Give an image segment below 0 0 0 1 1 1 0 0 0 0 1 2 2 1 1 0 0 1 1 2 3 2 1 0 1 1 1 2 3 3 2 2 1 1 2 3 4 6 5 3 1 2 3 5 5 6 6 2 1 2 4 5 6 7 7 2 0 0 4 4 5 6 0 0 (a) Find the histogram of the image segment. (b) Show the new image segment if a histogram equalization process is applied to it (over the intensity range of 0 to 7)? (c) Equalize the image for the original intensity levels 0 to 2 to new intensity levels of 0 to 4, and the original intensity levels 3 to 7 to new intensity levels of 5 to 7, derive the q(p) equations for each of these two transformations (where p is the original pixel intensity, and q(p) is the new intensity of the pixel), and show the new image segment. (d) Discuss the difference between the original image and the image resulting from applying the operation of (b) and (c) above respectively. (e) Derive the general formulas for the equalization that transforms the original pixel intensities in the range of (0 to a) to the range of (0 to b), where (b> a); and original pixel intensities in (a to M) to (b to M)