The straight line y = ax +b can be expressed in polar coordinates as: p=x cos(0) +y sin(0) Where (p,0) defines a vector from the origin to the nearest point on the line. Thus the Hough transform of a...

Extracted text: The straight line y = ax +b can be expressed in polar coordinates as: p=x cos(0) +y sin(0) Where (p,0) defines a vector from the origin to the nearest point on the line. Thus the Hough transform of a straight line in x-y space is a point in (p,0) space. The following points lie in a straight line 1 2 3 4 5 Y 4 3 When we put the first point in the p=x cos(0) +y sin(0) We get the first equation: p= 0+ 7 sin(0), draw the curve for p = 7 sin(0) When we put the second point in the p=x cos(0) + y sin(0) we get the second equation p: cos(0) + 6 sin(0), draw the curve for p = cos(0) + 6 sin(0) Show that all equations for the 6 points will intersect at one point where 0 and p =