Having heard about your success with the automobile manufacturing problem, you are contacted by a

fluids company that wishes to automate bubble$-$counting in certain processes for quality control. The

company has solved the imaging problem and can obtain $8-$bit images of resolution $700\backslash$times $700$ pixels,

such as the ones shown in figure below.

Each image represents an area of $7$cm$2$

$.$ The company wishes to do two things with each image;

a$.$ Determine the ratio of the area occupied by bubbles to the total area of the image.

b$.$ Count the number of distinct bubbles.

Based on the material you have learned in image processing and computer vision up to this point,

I. Propose a solution to this problem.

$[10$ Marks$]$

II$.$ Calculate the physical dimensions of the smallest bubble your solution can detect. State clearly

all assumptions that you make and that are likely to impact the solution you propose.