Estimate the homography transformation transforming

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Reference no: EM133368810

Case: Removal of the perspective distortion(0-15)Your camera captured an image of a rectangular door. The door is visible from an arbitrary angle so some perspective distortions are present. In order to apply your computer vision algorithms (e.g. detection of a door handle) you want to warp your image so the door in the output image have exactly rectangular shape and sides parallel to image axes. Coordinates of door corners extracted from the first (original) image are: The desired door corners coordinates in the second (warped) were arbitrarily set to:

Question 1. Estimate the homography transformation transforming coordinates of the door corners from the second into the first image. To simplify computations assume that the first row of the homography matrix was already computed for you [ H_{1 .}=[0.5,0,0.57735] ]

Question 2. Assume identityKint ?matrix. Does the computedHcorrespond to pure camera rotation (verify it)? If not, what other transformations may constituteHto establish mapping between the door under perspective distortion and an arbitrary recntangle with sides parallel to image axes? For this tasks provide also intermediate results of calculations. Use 5 decimal places for representation.

Reference no: EM133368810

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