Abstract-From this paper, we propose a novel methodology to compute a 2D Homography applying some algorithms of computer algebra. We consider the classical problem of solving (exactly) a linear system of algebraic equations, and we suggest a new algorithm for computer vision, based on homomorphism methods over Z, to solve a system of equations necessary to achieve a 3 × 3 matrix H which lets us to compute the projective transformation which translates coordinates between points in different planes. From this …
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