asap sir.. don't do lengthy calculations it's easy work on HOUGH TRANSFORM ... REFER TO GOOGLE OR YOUR KNOWLEDGE.. I TRUST THAT YOU CAN DO IT

1 Theory questions Type down your answers for the following questions in your write-up. Each question should only take a couple of lines. In particular, the proofs" do not require any lengthy calculations. If you are lost in many lines of complicated algebra you are doing something much too complicated (or wrong). Q1.1 Hough Transform Line Parametrization (20 points) 1. Show that if you use the line equation p = r cos 0 + y sin 0, each image point (x, y) results in a sinusoid in (p, 0) Hough space. Relate the amplitude and phase of the sinusoid to the point (x, y). 2. Why do we parametrization terms (p, 0) instead of the slope and intercept (m, c)? Express the slope and intercept in terms of (p, 0). 3. Assuming that the image points (r, y) are in an image of width W and height H, that is, r E [1, W], y E [1, H), what is the maximum absolute value of p, and what is the range for 0