homework1-426-2011

homework1-426-2011 - known coplanar points in the scene...

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2. (Affine and metric rectification) Consider the image attached. Read the image into matlab and use matlab to perform the calculations necessary for the following questions: (a) Calculate two vanishing points. (b) Find the image of the line at infinity (c) Calculate a homography that maps the line at infinity to its canonical position. This homography produces an affine rectification. Apply this homography to the image. 3. (Projective reconstruction using coplanar points). Assume two sets of four
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Unformatted text preview: known coplanar points in the scene {A,B,C,D} and {E,F,G,H} giving images {a,b,c,d} and {e,f,g,h} for an non calibrated camera with camera center O. Consider an unknown point M in the scene producing an image m. (a) Show how to determine the viewing ray Om. (b) Use (a) to develop a method for finding the camera center. (c) Repeat (a) and (b) for the case where we are given 6 points in space and their images (instead of two sets of four coplanar points)....
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