$(10+5$ p$.)$a$.$ Repeat the steps of the iterative thresholding algorithm using only the histogram of the image instead of the image itself.Express. Histogram of the mean calculations h$($rk$)$ needed to determine the thresholdsShow mathematically how it will be done over.k $=0,1,2,...,$ L$-1$ ;where h$($rk$)$ is the number of pixels in the image with intensity level rk and L is the total intensity level in the image.b$.$ Under which conditions the iterative thresholding algorithm should find a threshold value that gives a successful segmentation resultis expected.