$($Option $1)$ Hough Transform for Line and Circle Detection

In the folder of assignment $3,$ there is an image "figure $1-$assignment $3.$jpg$".$ Write a program that

detects pool table and balls using Hough Transform. Note: you are allowed to use any OpenCV

functions for this task.

a$.(10$ pts$)$ Generate an image showing detected lines $($show four main lines of the interior

border like the following result$)$ of the pool table overlaid on the top of the original image,

as shown in Figure $1.$

b$.(10$ pts$)$ Generate an image showing detected balls overlaid on the top of the original image.

c$.(5$ pts$)$ Generate an image showing the location of four corners of the pool table overlaid

on the top of the original image.