(a) An image with 8 gray levels is shown in the following figure. Hand calculates histogram equalization to the image. Show how you compute the mappings and the histogram equalized image. 2 1 0 1 1 01 5551 4 5 4 4 5 4 5 5 5 7 L0 1 5 6 1 (b) Hand calculates the Sobel edge detection on the image below. Step: (1) apply X operator (convolution) to obtain GX, (2) apply Y operator to obtain GY, (3) combine GX and GY using the "sum of absolute values" to obtain G. Show your GX, GY and G. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 0 0 0 0 100 100 100 100 100 0 0 Image: 00 100 100 100 100 100 0 0 0 0 100 100 100 100 100 0 0 00 0 0 00 0 0 0 0 00 0 00 0 00 X operator: -2 0 TNT 0 1] -1 -2 0 2 Y operator: 0 0 0 Ac -1 0 1 1 2 1 Go