The image of the rectangle-shaped facade of a building has two vanishing points, one at (-6,0) corresponding to horizontal lines and one at (0, h) corresponding to the vertical lines. Find the transformation that will map the facade to a rectangle. Assume that the origin (0,0) and the point (1, 1) remain fixed. Problem 2 (20 pts.) The following dia- gram represents an aerial photograph of a straight road on flat ground. At A there is a sign 'Junction 1 km', at B asign 'Junction km', and C is the road junction. Also, a police patrol car is at X,and a bridge is at Y.The distances marked on the left of the diagram are measured in cm from the pho- tograph. Calculate the actual distances (in km) of the patrol car and the bridge from the junction. Film image km 1 km B aerial photograph Problem 3 (20 pts) For this question you will need to read the article "How to Detect Faked Photos" (Farid). Is the following reflection painting perspectively correct? To answer this question you can draw lines on top of the image and use them for your argument. The original image can be found here.