The threshold image segment has resulted into following edge point. Find eq. of the line that passes through max number of points using Hough Transform. (3,4), (0,-4), (1,4), (6,12),(4,1),(1.5,0),(-2,2), (-1,-3), (3,-2)

The equation of straight line is y = ax + b

Changing co-ordinates, we get

b = -ax + y

Plot the above obtained eq. of line on the graph paper and then find a point through which maximum number of lines pass

From the graph, we observe that 4 lines intersect a common point i.e. a = 2.7 & b = -4.

By using these values of a and b we can write another eq. of line in xy-plane i.e. y = 2.7x – 4

Hence, four lines intersecting at one point in ab-plane means there are three points on one line in xy-plane